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Finding the Fourth Proportional to 515,544.38, 773,882.28 and 409,609.28

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Solution

The fourth proportional to 515,544.38, 773,882.28 and 409,609.28 is: 614,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,544.38 : 773,882.28 = 409,609.28 : x
  2. Step 2: Convert to fraction form
    515,544.38/773,882.28 = 409,609.28/x
  3. Step 3: Cross multiply
    515,544.38x = 773,882.28 × 409,609.28
  4. Step 4: Simplify right side
    515,544.38x = 316,989,359,646.15
  5. Step 5: Solve for x
    x = 316,989,359,646.15/515,544.38
  6. Step 6: Final answer
    x = 614,863.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.