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Finding the Fourth Proportional to 687,889.12, 1,031,218.08 and 267,064.96

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Solution

The fourth proportional to 687,889.12, 1,031,218.08 and 267,064.96 is: 400,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,889.12 : 1,031,218.08 = 267,064.96 : x
  2. Step 2: Convert to fraction form
    687,889.12/1,031,218.08 = 267,064.96/x
  3. Step 3: Cross multiply
    687,889.12x = 1,031,218.08 × 267,064.96
  4. Step 4: Simplify right side
    687,889.12x = 275,402,215,286.48
  5. Step 5: Solve for x
    x = 275,402,215,286.48/687,889.12
  6. Step 6: Final answer
    x = 400,358.44

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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.