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Finding the Fourth Proportional to 409,826.70, 615,200.85 and 316,745.10

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Solution

The fourth proportional to 409,826.70, 615,200.85 and 316,745.10 is: 475,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,826.70 : 615,200.85 = 316,745.10 : x
  2. Step 2: Convert to fraction form
    409,826.70/615,200.85 = 316,745.10/x
  3. Step 3: Cross multiply
    409,826.70x = 615,200.85 × 316,745.10
  4. Step 4: Simplify right side
    409,826.70x = 194,861,854,753.34
  5. Step 5: Solve for x
    x = 194,861,854,753.34/409,826.70
  6. Step 6: Final answer
    x = 475,473.79

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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.