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Finding the Fourth Proportional to 284,029.20, 391,942.08 and 156,704.76

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Solution

The fourth proportional to 284,029.20, 391,942.08 and 156,704.76 is: 216,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,029.20 : 391,942.08 = 156,704.76 : x
  2. Step 2: Convert to fraction form
    284,029.20/391,942.08 = 156,704.76/x
  3. Step 3: Cross multiply
    284,029.20x = 391,942.08 × 156,704.76
  4. Step 4: Simplify right side
    284,029.20x = 61,419,189,580.30
  5. Step 5: Solve for x
    x = 61,419,189,580.30/284,029.20
  6. Step 6: Final answer
    x = 216,242.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.