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Finding the Fourth Proportional to 318,817.62, 477,931.05 and 141,229.98

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Solution

The fourth proportional to 318,817.62, 477,931.05 and 141,229.98 is: 211,714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,817.62 : 477,931.05 = 141,229.98 : x
  2. Step 2: Convert to fraction form
    318,817.62/477,931.05 = 141,229.98/x
  3. Step 3: Cross multiply
    318,817.62x = 477,931.05 × 141,229.98
  4. Step 4: Simplify right side
    318,817.62x = 67,498,192,632.88
  5. Step 5: Solve for x
    x = 67,498,192,632.88/318,817.62
  6. Step 6: Final answer
    x = 211,714.12

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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.