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Finding the Fourth Proportional to 521,624.50, 782,554 and 281,733.28

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Solution

The fourth proportional to 521,624.50, 782,554 and 281,733.28 is: 422,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,624.50 : 782,554 = 281,733.28 : x
  2. Step 2: Convert to fraction form
    521,624.50/782,554 = 281,733.28/x
  3. Step 3: Cross multiply
    521,624.50x = 782,554 × 281,733.28
  4. Step 4: Simplify right side
    521,624.50x = 220,471,505,197.12
  5. Step 5: Solve for x
    x = 220,471,505,197.12/521,624.50
  6. Step 6: Final answer
    x = 422,663.25

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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.