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Finding the Fourth Proportional to 283,729.80, 391,549.79 and 156,409.95

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Solution

The fourth proportional to 283,729.80, 391,549.79 and 156,409.95 is: 215,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,729.80 : 391,549.79 = 156,409.95 : x
  2. Step 2: Convert to fraction form
    283,729.80/391,549.79 = 156,409.95/x
  3. Step 3: Cross multiply
    283,729.80x = 391,549.79 × 156,409.95
  4. Step 4: Simplify right side
    283,729.80x = 61,242,282,294.36
  5. Step 5: Solve for x
    x = 61,242,282,294.36/283,729.80
  6. Step 6: Final answer
    x = 215,847.20

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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.