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Finding the Fourth Proportional to 410,141.20, 615,211.80 and 345,187.30

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Solution

The fourth proportional to 410,141.20, 615,211.80 and 345,187.30 is: 517,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,141.20 : 615,211.80 = 345,187.30 : x
  2. Step 2: Convert to fraction form
    410,141.20/615,211.80 = 345,187.30/x
  3. Step 3: Cross multiply
    410,141.20x = 615,211.80 × 345,187.30
  4. Step 4: Simplify right side
    410,141.20x = 212,363,300,170.14
  5. Step 5: Solve for x
    x = 212,363,300,170.14/410,141.20
  6. Step 6: Final answer
    x = 517,780.95

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1.5x scale

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.