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Finding the Fourth Proportional to 521,657.28, 782,016.48 and 189,000

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Solution

The fourth proportional to 521,657.28, 782,016.48 and 189,000 is: 283,329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,657.28 : 782,016.48 = 189,000 : x
  2. Step 2: Convert to fraction form
    521,657.28/782,016.48 = 189,000/x
  3. Step 3: Cross multiply
    521,657.28x = 782,016.48 × 189,000
  4. Step 4: Simplify right side
    521,657.28x = 147,801,114,720
  5. Step 5: Solve for x
    x = 147,801,114,720/521,657.28
  6. Step 6: Final answer
    x = 283,329.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.