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Finding the Fourth Proportional to 460,842.62, 691,263.92 and 145,331.42

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Solution

The fourth proportional to 460,842.62, 691,263.92 and 145,331.42 is: 217,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,842.62 : 691,263.92 = 145,331.42 : x
  2. Step 2: Convert to fraction form
    460,842.62/691,263.92 = 145,331.42/x
  3. Step 3: Cross multiply
    460,842.62x = 691,263.92 × 145,331.42
  4. Step 4: Simplify right side
    460,842.62x = 100,462,363,995.38
  5. Step 5: Solve for x
    x = 100,462,363,995.38/460,842.62
  6. Step 6: Final answer
    x = 217,997.12

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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.