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Finding the Fourth Proportional to 478,876.38, 718,314.54 and 454,930.78

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Solution

The fourth proportional to 478,876.38, 718,314.54 and 454,930.78 is: 682,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,876.38 : 718,314.54 = 454,930.78 : x
  2. Step 2: Convert to fraction form
    478,876.38/718,314.54 = 454,930.78/x
  3. Step 3: Cross multiply
    478,876.38x = 718,314.54 × 454,930.78
  4. Step 4: Simplify right side
    478,876.38x = 326,783,393,967.54
  5. Step 5: Solve for x
    x = 326,783,393,967.54/478,876.38
  6. Step 6: Final answer
    x = 682,396.14

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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.