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Finding the Fourth Proportional to 283,807.28, 391,656.72 and 156,487.40

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Solution

The fourth proportional to 283,807.28, 391,656.72 and 156,487.40 is: 215,954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,807.28 : 391,656.72 = 156,487.40 : x
  2. Step 2: Convert to fraction form
    283,807.28/391,656.72 = 156,487.40/x
  3. Step 3: Cross multiply
    283,807.28x = 391,656.72 × 156,487.40
  4. Step 4: Simplify right side
    283,807.28x = 61,289,341,805.33
  5. Step 5: Solve for x
    x = 61,289,341,805.33/283,807.28
  6. Step 6: Final answer
    x = 215,954.09

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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.