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Finding the Fourth Proportional to 283,983.32, 391,900.02 and 156,657.80

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Solution

The fourth proportional to 283,983.32, 391,900.02 and 156,657.80 is: 216,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,983.32 : 391,900.02 = 156,657.80 : x
  2. Step 2: Convert to fraction form
    283,983.32/391,900.02 = 156,657.80/x
  3. Step 3: Cross multiply
    283,983.32x = 391,900.02 × 156,657.80
  4. Step 4: Simplify right side
    283,983.32x = 61,394,194,953.16
  5. Step 5: Solve for x
    x = 61,394,194,953.16/283,983.32
  6. Step 6: Final answer
    x = 216,189.44

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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.