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Finding the Fourth Proportional to 306,805.46, 460,135.28 and 138,221.78

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Solution

The fourth proportional to 306,805.46, 460,135.28 and 138,221.78 is: 207,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,805.46 : 460,135.28 = 138,221.78 : x
  2. Step 2: Convert to fraction form
    306,805.46/460,135.28 = 138,221.78/x
  3. Step 3: Cross multiply
    306,805.46x = 460,135.28 × 138,221.78
  4. Step 4: Simplify right side
    306,805.46x = 63,600,715,487.28
  5. Step 5: Solve for x
    x = 63,600,715,487.28/306,805.46
  6. Step 6: Final answer
    x = 207,299.82

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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.