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Finding the Fourth Proportional to 409,819.20, 615,189.60 and 316,737.60

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Solution

The fourth proportional to 409,819.20, 615,189.60 and 316,737.60 is: 475,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,819.20 : 615,189.60 = 316,737.60 : x
  2. Step 2: Convert to fraction form
    409,819.20/615,189.60 = 316,737.60/x
  3. Step 3: Cross multiply
    409,819.20x = 615,189.60 × 316,737.60
  4. Step 4: Simplify right side
    409,819.20x = 194,853,677,448.96
  5. Step 5: Solve for x
    x = 194,853,677,448.96/409,819.20
  6. Step 6: Final answer
    x = 475,462.54

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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.