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Finding the Fourth Proportional to 318,053.95, 477,081.20 and 149,450.61

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Solution

The fourth proportional to 318,053.95, 477,081.20 and 149,450.61 is: 224,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,053.95 : 477,081.20 = 149,450.61 : x
  2. Step 2: Convert to fraction form
    318,053.95/477,081.20 = 149,450.61/x
  3. Step 3: Cross multiply
    318,053.95x = 477,081.20 × 149,450.61
  4. Step 4: Simplify right side
    318,053.95x = 71,300,076,359.53
  5. Step 5: Solve for x
    x = 71,300,076,359.53/318,053.95
  6. Step 6: Final answer
    x = 224,176.04

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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.