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Finding the Fourth Proportional to 457,855.76, 631,838.96 and 256,651.76

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Solution

The fourth proportional to 457,855.76, 631,838.96 and 256,651.76 is: 354,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,855.76 : 631,838.96 = 256,651.76 : x
  2. Step 2: Convert to fraction form
    457,855.76/631,838.96 = 256,651.76/x
  3. Step 3: Cross multiply
    457,855.76x = 631,838.96 × 256,651.76
  4. Step 4: Simplify right side
    457,855.76x = 162,162,581,120.57
  5. Step 5: Solve for x
    x = 162,162,581,120.57/457,855.76
  6. Step 6: Final answer
    x = 354,178.31

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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.