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Finding the Fourth Proportional to 318,876.52, 478,314.78 and 277,819.24

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Solution

The fourth proportional to 318,876.52, 478,314.78 and 277,819.24 is: 416,728.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,876.52 : 478,314.78 = 277,819.24 : x
  2. Step 2: Convert to fraction form
    318,876.52/478,314.78 = 277,819.24/x
  3. Step 3: Cross multiply
    318,876.52x = 478,314.78 × 277,819.24
  4. Step 4: Simplify right side
    318,876.52x = 132,885,048,660.37
  5. Step 5: Solve for x
    x = 132,885,048,660.37/318,876.52
  6. Step 6: Final answer
    x = 416,728.86

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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.