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Finding the Fourth Proportional to 284,049.42, 391,996.39 and 156,733.21

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Solution

The fourth proportional to 284,049.42, 391,996.39 and 156,733.21 is: 216,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,049.42 : 391,996.39 = 156,733.21 : x
  2. Step 2: Convert to fraction form
    284,049.42/391,996.39 = 156,733.21/x
  3. Step 3: Cross multiply
    284,049.42x = 391,996.39 × 156,733.21
  4. Step 4: Simplify right side
    284,049.42x = 61,438,854,080.85
  5. Step 5: Solve for x
    x = 61,438,854,080.85/284,049.42
  6. Step 6: Final answer
    x = 216,296.36

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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.