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Finding the Fourth Proportional to 283,812.95, 391,644 and 156,489.59

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Solution

The fourth proportional to 283,812.95, 391,644 and 156,489.59 is: 215,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,812.95 : 391,644 = 156,489.59 : x
  2. Step 2: Convert to fraction form
    283,812.95/391,644 = 156,489.59/x
  3. Step 3: Cross multiply
    283,812.95x = 391,644 × 156,489.59
  4. Step 4: Simplify right side
    283,812.95x = 61,288,208,985.96
  5. Step 5: Solve for x
    x = 61,288,208,985.96/283,812.95
  6. Step 6: Final answer
    x = 215,945.78

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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.