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Finding the Fourth Proportional to 318,214.77, 477,006.82 and 149,432.95

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Solution

The fourth proportional to 318,214.77, 477,006.82 and 149,432.95 is: 224,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,214.77 : 477,006.82 = 149,432.95 : x
  2. Step 2: Convert to fraction form
    318,214.77/477,006.82 = 149,432.95/x
  3. Step 3: Cross multiply
    318,214.77x = 477,006.82 × 149,432.95
  4. Step 4: Simplify right side
    318,214.77x = 71,280,536,282.72
  5. Step 5: Solve for x
    x = 71,280,536,282.72/318,214.77
  6. Step 6: Final answer
    x = 224,001.34

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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.