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Finding the Fourth Proportional to 409,900.20, 615,311.10 and 316,818.60

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Solution

The fourth proportional to 409,900.20, 615,311.10 and 316,818.60 is: 475,584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,900.20 : 615,311.10 = 316,818.60 : x
  2. Step 2: Convert to fraction form
    409,900.20/615,311.10 = 316,818.60/x
  3. Step 3: Cross multiply
    409,900.20x = 615,311.10 × 316,818.60
  4. Step 4: Simplify right side
    409,900.20x = 194,942,001,266.46
  5. Step 5: Solve for x
    x = 194,942,001,266.46/409,900.20
  6. Step 6: Final answer
    x = 475,584.06

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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.