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Finding the Fourth Proportional to 415,847.16, 623,819.52 and 145,892.76

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Solution

The fourth proportional to 415,847.16, 623,819.52 and 145,892.76 is: 218,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,847.16 : 623,819.52 = 145,892.76 : x
  2. Step 2: Convert to fraction form
    415,847.16/623,819.52 = 145,892.76/x
  3. Step 3: Cross multiply
    415,847.16x = 623,819.52 × 145,892.76
  4. Step 4: Simplify right side
    415,847.16x = 91,010,751,514.68
  5. Step 5: Solve for x
    x = 91,010,751,514.68/415,847.16
  6. Step 6: Final answer
    x = 218,856.25

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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.