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Finding the Fourth Proportional to 515,609, 773,382.42 and 306,577.16

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Solution

The fourth proportional to 515,609, 773,382.42 and 306,577.16 is: 459,847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,609 : 773,382.42 = 306,577.16 : x
  2. Step 2: Convert to fraction form
    515,609/773,382.42 = 306,577.16/x
  3. Step 3: Cross multiply
    515,609x = 773,382.42 × 306,577.16
  4. Step 4: Simplify right side
    515,609x = 237,101,385,917.53
  5. Step 5: Solve for x
    x = 237,101,385,917.53/515,609
  6. Step 6: Final answer
    x = 459,847.26

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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.