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Finding the Fourth Proportional to 283,710.46, 391,520.33 and 156,388.18

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Solution

The fourth proportional to 283,710.46, 391,520.33 and 156,388.18 is: 215,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,710.46 : 391,520.33 = 156,388.18 : x
  2. Step 2: Convert to fraction form
    283,710.46/391,520.33 = 156,388.18/x
  3. Step 3: Cross multiply
    283,710.46x = 391,520.33 × 156,388.18
  4. Step 4: Simplify right side
    283,710.46x = 61,229,150,275.07
  5. Step 5: Solve for x
    x = 61,229,150,275.07/283,710.46
  6. Step 6: Final answer
    x = 215,815.63

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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.