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Finding the Fourth Proportional to 650,433.27, 975,649.91 and 428,765.43

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Solution

The fourth proportional to 650,433.27, 975,649.91 and 428,765.43 is: 643,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,433.27 : 975,649.91 = 428,765.43 : x
  2. Step 2: Convert to fraction form
    650,433.27/975,649.91 = 428,765.43/x
  3. Step 3: Cross multiply
    650,433.27x = 975,649.91 × 428,765.43
  4. Step 4: Simplify right side
    650,433.27x = 418,324,953,190.61
  5. Step 5: Solve for x
    x = 418,324,953,190.61/650,433.27
  6. Step 6: Final answer
    x = 643,148.15

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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.