Home / 382,401,339,683.76-527,760,123,228.92-217,642,917,380.24

Finding the Fourth Proportional to 382,401,339,683.76, 527,760,123,228.92 and 217,642,917,380.24

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Solution

The fourth proportional to 382,401,339,683.76, 527,760,123,228.92 and 217,642,917,380.24 is: 300,373,562,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,401,339,683.76 : 527,760,123,228.92 = 217,642,917,380.24 : x
  2. Step 2: Convert to fraction form
    382,401,339,683.76/527,760,123,228.92 = 217,642,917,380.24/x
  3. Step 3: Cross multiply
    382,401,339,683.76x = 527,760,123,228.92 × 217,642,917,380.24
  4. Step 4: Simplify right side
    382,401,339,683.76x = 114,863,252,896,497,100,914,688
  5. Step 5: Solve for x
    x = 114,863,252,896,497,100,914,688/382,401,339,683.76
  6. Step 6: Final answer
    x = 300,373,562,999.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.