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Finding the Fourth Proportional to 564,175.13, 778,575.34 and 309,526.31

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Solution

The fourth proportional to 564,175.13, 778,575.34 and 309,526.31 is: 427,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,175.13 : 778,575.34 = 309,526.31 : x
  2. Step 2: Convert to fraction form
    564,175.13/778,575.34 = 309,526.31/x
  3. Step 3: Cross multiply
    564,175.13x = 778,575.34 × 309,526.31
  4. Step 4: Simplify right side
    564,175.13x = 240,989,554,380.54
  5. Step 5: Solve for x
    x = 240,989,554,380.54/564,175.13
  6. Step 6: Final answer
    x = 427,153.81

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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.