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Finding the Fourth Proportional to 272,884.60, 408,938.10 and 201,248.20

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Solution

The fourth proportional to 272,884.60, 408,938.10 and 201,248.20 is: 301,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,884.60 : 408,938.10 = 201,248.20 : x
  2. Step 2: Convert to fraction form
    272,884.60/408,938.10 = 201,248.20/x
  3. Step 3: Cross multiply
    272,884.60x = 408,938.10 × 201,248.20
  4. Step 4: Simplify right side
    272,884.60x = 82,298,056,536.42
  5. Step 5: Solve for x
    x = 82,298,056,536.42/272,884.60
  6. Step 6: Final answer
    x = 301,585.57

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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.