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Finding the Fourth Proportional to 515,657.10, 773,485.65 and 409,368.90

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Solution

The fourth proportional to 515,657.10, 773,485.65 and 409,368.90 is: 614,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,657.10 : 773,485.65 = 409,368.90 : x
  2. Step 2: Convert to fraction form
    515,657.10/773,485.65 = 409,368.90/x
  3. Step 3: Cross multiply
    515,657.10x = 773,485.65 × 409,368.90
  4. Step 4: Simplify right side
    515,657.10x = 316,640,969,706.29
  5. Step 5: Solve for x
    x = 316,640,969,706.29/515,657.10
  6. Step 6: Final answer
    x = 614,053.35

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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.