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Finding the Fourth Proportional to 283,594.76, 391,369 and 156,278.56

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Solution

The fourth proportional to 283,594.76, 391,369 and 156,278.56 is: 215,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,594.76 : 391,369 = 156,278.56 : x
  2. Step 2: Convert to fraction form
    283,594.76/391,369 = 156,278.56/x
  3. Step 3: Cross multiply
    283,594.76x = 391,369 × 156,278.56
  4. Step 4: Simplify right side
    283,594.76x = 61,162,583,748.64
  5. Step 5: Solve for x
    x = 61,162,583,748.64/283,594.76
  6. Step 6: Final answer
    x = 215,668.95

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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.