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Finding the Fourth Proportional to 716,401.80, 988,642.67 and 410,472.02

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Solution

The fourth proportional to 716,401.80, 988,642.67 and 410,472.02 is: 566,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,401.80 : 988,642.67 = 410,472.02 : x
  2. Step 2: Convert to fraction form
    716,401.80/988,642.67 = 410,472.02/x
  3. Step 3: Cross multiply
    716,401.80x = 988,642.67 × 410,472.02
  4. Step 4: Simplify right side
    716,401.80x = 405,810,154,232.34
  5. Step 5: Solve for x
    x = 405,810,154,232.34/716,401.80
  6. Step 6: Final answer
    x = 566,456.08

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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.