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Finding the Fourth Proportional to 437,560.10, 656,340.15 and 188,728.10

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Solution

The fourth proportional to 437,560.10, 656,340.15 and 188,728.10 is: 283,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,560.10 : 656,340.15 = 188,728.10 : x
  2. Step 2: Convert to fraction form
    437,560.10/656,340.15 = 188,728.10/x
  3. Step 3: Cross multiply
    437,560.10x = 656,340.15 × 188,728.10
  4. Step 4: Simplify right side
    437,560.10x = 123,869,829,463.22
  5. Step 5: Solve for x
    x = 123,869,829,463.22/437,560.10
  6. Step 6: Final answer
    x = 283,092.15

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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.