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Finding the Fourth Proportional to 306,753.91, 460,193.07 and 129,260.83

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Solution

The fourth proportional to 306,753.91, 460,193.07 and 129,260.83 is: 193,917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,753.91 : 460,193.07 = 129,260.83 : x
  2. Step 2: Convert to fraction form
    306,753.91/460,193.07 = 129,260.83/x
  3. Step 3: Cross multiply
    306,753.91x = 460,193.07 × 129,260.83
  4. Step 4: Simplify right side
    306,753.91x = 59,484,938,188.45
  5. Step 5: Solve for x
    x = 59,484,938,188.45/306,753.91
  6. Step 6: Final answer
    x = 193,917.46

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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.