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Finding the Fourth Proportional to 650,431.27, 975,646.91 and 428,763.43

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Solution

The fourth proportional to 650,431.27, 975,646.91 and 428,763.43 is: 643,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,431.27 : 975,646.91 = 428,763.43 : x
  2. Step 2: Convert to fraction form
    650,431.27/975,646.91 = 428,763.43/x
  3. Step 3: Cross multiply
    650,431.27x = 975,646.91 × 428,763.43
  4. Step 4: Simplify right side
    650,431.27x = 418,321,715,600.50
  5. Step 5: Solve for x
    x = 418,321,715,600.50/650,431.27
  6. Step 6: Final answer
    x = 643,145.15

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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.