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Finding the Fourth Proportional to 318,100.70, 477,306.71 and 149,638.03

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Solution

The fourth proportional to 318,100.70, 477,306.71 and 149,638.03 is: 224,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,100.70 : 477,306.71 = 149,638.03 : x
  2. Step 2: Convert to fraction form
    318,100.70/477,306.71 = 149,638.03/x
  3. Step 3: Cross multiply
    318,100.70x = 477,306.71 × 149,638.03
  4. Step 4: Simplify right side
    318,100.70x = 71,423,234,409.87
  5. Step 5: Solve for x
    x = 71,423,234,409.87/318,100.70
  6. Step 6: Final answer
    x = 224,530.26

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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.