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Finding the Fourth Proportional to 457,819.38, 631,759.92 and 253,862.80

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Solution

The fourth proportional to 457,819.38, 631,759.92 and 253,862.80 is: 350,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,819.38 : 631,759.92 = 253,862.80 : x
  2. Step 2: Convert to fraction form
    457,819.38/631,759.92 = 253,862.80/x
  3. Step 3: Cross multiply
    457,819.38x = 631,759.92 × 253,862.80
  4. Step 4: Simplify right side
    457,819.38x = 160,380,342,218.98
  5. Step 5: Solve for x
    x = 160,380,342,218.98/457,819.38
  6. Step 6: Final answer
    x = 350,313.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.