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Finding the Fourth Proportional to 270,812.17, 406,185.45 and 137,787.90

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Solution

The fourth proportional to 270,812.17, 406,185.45 and 137,787.90 is: 206,665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,812.17 : 406,185.45 = 137,787.90 : x
  2. Step 2: Convert to fraction form
    270,812.17/406,185.45 = 137,787.90/x
  3. Step 3: Cross multiply
    270,812.17x = 406,185.45 × 137,787.90
  4. Step 4: Simplify right side
    270,812.17x = 55,967,438,126.15
  5. Step 5: Solve for x
    x = 55,967,438,126.15/270,812.17
  6. Step 6: Final answer
    x = 206,665.15

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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.