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Finding the Fourth Proportional to 409,816.20, 615,185.10 and 316,734.60

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Solution

The fourth proportional to 409,816.20, 615,185.10 and 316,734.60 is: 475,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,816.20 : 615,185.10 = 316,734.60 : x
  2. Step 2: Convert to fraction form
    409,816.20/615,185.10 = 316,734.60/x
  3. Step 3: Cross multiply
    409,816.20x = 615,185.10 × 316,734.60
  4. Step 4: Simplify right side
    409,816.20x = 194,850,406,574.46
  5. Step 5: Solve for x
    x = 194,850,406,574.46/409,816.20
  6. Step 6: Final answer
    x = 475,458.04

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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.