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Finding the Fourth Proportional to 409,007.20, 612,934.80 and 324,911.20

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Solution

The fourth proportional to 409,007.20, 612,934.80 and 324,911.20 is: 486,909.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,007.20 : 612,934.80 = 324,911.20 : x
  2. Step 2: Convert to fraction form
    409,007.20/612,934.80 = 324,911.20/x
  3. Step 3: Cross multiply
    409,007.20x = 612,934.80 × 324,911.20
  4. Step 4: Simplify right side
    409,007.20x = 199,149,381,389.76
  5. Step 5: Solve for x
    x = 199,149,381,389.76/409,007.20
  6. Step 6: Final answer
    x = 486,909.23

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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.