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Finding the Fourth Proportional to 457,655.76, 631,563.21 and 256,451.76

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Solution

The fourth proportional to 457,655.76, 631,563.21 and 256,451.76 is: 353,902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,655.76 : 631,563.21 = 256,451.76 : x
  2. Step 2: Convert to fraction form
    457,655.76/631,563.21 = 256,451.76/x
  3. Step 3: Cross multiply
    457,655.76x = 631,563.21 × 256,451.76
  4. Step 4: Simplify right side
    457,655.76x = 161,965,496,755.75
  5. Step 5: Solve for x
    x = 161,965,496,755.75/457,655.76
  6. Step 6: Final answer
    x = 353,902.45

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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.