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Finding the Fourth Proportional to 305,943.13, 458,757.12 and 137,318.90

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Solution

The fourth proportional to 305,943.13, 458,757.12 and 137,318.90 is: 205,907.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,943.13 : 458,757.12 = 137,318.90 : x
  2. Step 2: Convert to fraction form
    305,943.13/458,757.12 = 137,318.90/x
  3. Step 3: Cross multiply
    305,943.13x = 458,757.12 × 137,318.90
  4. Step 4: Simplify right side
    305,943.13x = 62,996,020,534.31
  5. Step 5: Solve for x
    x = 62,996,020,534.31/305,943.13
  6. Step 6: Final answer
    x = 205,907.62

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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.