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Finding the Fourth Proportional to 687,299.12, 1,031,350.44 and 287,906

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Solution

The fourth proportional to 687,299.12, 1,031,350.44 and 287,906 is: 432,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,299.12 : 1,031,350.44 = 287,906 : x
  2. Step 2: Convert to fraction form
    687,299.12/1,031,350.44 = 287,906/x
  3. Step 3: Cross multiply
    687,299.12x = 1,031,350.44 × 287,906
  4. Step 4: Simplify right side
    687,299.12x = 296,931,979,778.64
  5. Step 5: Solve for x
    x = 296,931,979,778.64/687,299.12
  6. Step 6: Final answer
    x = 432,027.30

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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.