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Finding the Fourth Proportional to 409,984.60, 615,092.10 and 199,629.40

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Solution

The fourth proportional to 409,984.60, 615,092.10 and 199,629.40 is: 299,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,984.60 : 615,092.10 = 199,629.40 : x
  2. Step 2: Convert to fraction form
    409,984.60/615,092.10 = 199,629.40/x
  3. Step 3: Cross multiply
    409,984.60x = 615,092.10 × 199,629.40
  4. Step 4: Simplify right side
    409,984.60x = 122,790,466,867.74
  5. Step 5: Solve for x
    x = 122,790,466,867.74/409,984.60
  6. Step 6: Final answer
    x = 299,500.19

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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.