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Finding the Fourth Proportional to 318,708.72, 478,063.44 and 82,051.92

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Solution

The fourth proportional to 318,708.72, 478,063.44 and 82,051.92 is: 123,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,708.72 : 478,063.44 = 82,051.92 : x
  2. Step 2: Convert to fraction form
    318,708.72/478,063.44 = 82,051.92/x
  3. Step 3: Cross multiply
    318,708.72x = 478,063.44 × 82,051.92
  4. Step 4: Simplify right side
    318,708.72x = 39,226,023,133.80
  5. Step 5: Solve for x
    x = 39,226,023,133.80/318,708.72
  6. Step 6: Final answer
    x = 123,077.97

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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.