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Finding the Fourth Proportional to 283,591, 391,363.82 and 156,274.80

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Solution

The fourth proportional to 283,591, 391,363.82 and 156,274.80 is: 215,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,591 : 391,363.82 = 156,274.80 : x
  2. Step 2: Convert to fraction form
    283,591/391,363.82 = 156,274.80/x
  3. Step 3: Cross multiply
    283,591x = 391,363.82 × 156,274.80
  4. Step 4: Simplify right side
    283,591x = 61,160,302,697.74
  5. Step 5: Solve for x
    x = 61,160,302,697.74/283,591
  6. Step 6: Final answer
    x = 215,663.76

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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.