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Finding the Fourth Proportional to 650,426.52, 975,639.78 and 428,758.68

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Solution

The fourth proportional to 650,426.52, 975,639.78 and 428,758.68 is: 643,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,426.52 : 975,639.78 = 428,758.68 : x
  2. Step 2: Convert to fraction form
    650,426.52/975,639.78 = 428,758.68/x
  3. Step 3: Cross multiply
    650,426.52x = 975,639.78 × 428,758.68
  4. Step 4: Simplify right side
    650,426.52x = 418,314,024,228.29
  5. Step 5: Solve for x
    x = 418,314,024,228.29/650,426.52
  6. Step 6: Final answer
    x = 643,138.02

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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.