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Finding the Fourth Proportional to 409,616.70, 615,346.65 and 285,200.70

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Solution

The fourth proportional to 409,616.70, 615,346.65 and 285,200.70 is: 428,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,616.70 : 615,346.65 = 285,200.70 : x
  2. Step 2: Convert to fraction form
    409,616.70/615,346.65 = 285,200.70/x
  3. Step 3: Cross multiply
    409,616.70x = 615,346.65 × 285,200.70
  4. Step 4: Simplify right side
    409,616.70x = 175,497,295,322.66
  5. Step 5: Solve for x
    x = 175,497,295,322.66/409,616.70
  6. Step 6: Final answer
    x = 428,442.73

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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.