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Finding the Fourth Proportional to 318,705.30, 478,115.55 and 160,535.70

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Solution

The fourth proportional to 318,705.30, 478,115.55 and 160,535.70 is: 240,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,705.30 : 478,115.55 = 160,535.70 : x
  2. Step 2: Convert to fraction form
    318,705.30/478,115.55 = 160,535.70/x
  3. Step 3: Cross multiply
    318,705.30x = 478,115.55 × 160,535.70
  4. Step 4: Simplify right side
    318,705.30x = 76,754,614,500.14
  5. Step 5: Solve for x
    x = 76,754,614,500.14/318,705.30
  6. Step 6: Final answer
    x = 240,832.56

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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.