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Finding the Fourth Proportional to 318,773.92, 478,046.03 and 105,502.48

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Solution

The fourth proportional to 318,773.92, 478,046.03 and 105,502.48 is: 158,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,773.92 : 478,046.03 = 105,502.48 : x
  2. Step 2: Convert to fraction form
    318,773.92/478,046.03 = 105,502.48/x
  3. Step 3: Cross multiply
    318,773.92x = 478,046.03 × 105,502.48
  4. Step 4: Simplify right side
    318,773.92x = 50,435,041,719.15
  5. Step 5: Solve for x
    x = 50,435,041,719.15/318,773.92
  6. Step 6: Final answer
    x = 158,215.71

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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.