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Finding the Fourth Proportional to 515,505.67, 773,824.16 and 409,570.58

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Solution

The fourth proportional to 515,505.67, 773,824.16 and 409,570.58 is: 614,805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,505.67 : 773,824.16 = 409,570.58 : x
  2. Step 2: Convert to fraction form
    515,505.67/773,824.16 = 409,570.58/x
  3. Step 3: Cross multiply
    515,505.67x = 773,824.16 × 409,570.58
  4. Step 4: Simplify right side
    515,505.67x = 316,935,612,987.70
  5. Step 5: Solve for x
    x = 316,935,612,987.70/515,505.67
  6. Step 6: Final answer
    x = 614,805.29

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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.