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Finding the Fourth Proportional to 326,909.28, 490,363.20 and 87,023.24

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Solution

The fourth proportional to 326,909.28, 490,363.20 and 87,023.24 is: 130,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,909.28 : 490,363.20 = 87,023.24 : x
  2. Step 2: Convert to fraction form
    326,909.28/490,363.20 = 87,023.24/x
  3. Step 3: Cross multiply
    326,909.28x = 490,363.20 × 87,023.24
  4. Step 4: Simplify right side
    326,909.28x = 42,672,991,553.84
  5. Step 5: Solve for x
    x = 42,672,991,553.84/326,909.28
  6. Step 6: Final answer
    x = 130,534.66

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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.