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Finding the Fourth Proportional to 478,471.14, 717,682.85 and 178,929.69

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Solution

The fourth proportional to 478,471.14, 717,682.85 and 178,929.69 is: 268,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,471.14 : 717,682.85 = 178,929.69 : x
  2. Step 2: Convert to fraction form
    478,471.14/717,682.85 = 178,929.69/x
  3. Step 3: Cross multiply
    478,471.14x = 717,682.85 × 178,929.69
  4. Step 4: Simplify right side
    478,471.14x = 128,414,768,974.17
  5. Step 5: Solve for x
    x = 128,414,768,974.17/478,471.14
  6. Step 6: Final answer
    x = 268,385.61

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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.