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Finding the Fourth Proportional to 410,627.20, 615,364.80 and 326,531.20

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Solution

The fourth proportional to 410,627.20, 615,364.80 and 326,531.20 is: 489,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,627.20 : 615,364.80 = 326,531.20 : x
  2. Step 2: Convert to fraction form
    410,627.20/615,364.80 = 326,531.20/x
  3. Step 3: Cross multiply
    410,627.20x = 615,364.80 × 326,531.20
  4. Step 4: Simplify right side
    410,627.20x = 200,935,806,581.76
  5. Step 5: Solve for x
    x = 200,935,806,581.76/410,627.20
  6. Step 6: Final answer
    x = 489,338.76

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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.