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Finding the Fourth Proportional to 457,899, 631,900.62 and 256,695

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Solution

The fourth proportional to 457,899, 631,900.62 and 256,695 is: 354,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,899 : 631,900.62 = 256,695 : x
  2. Step 2: Convert to fraction form
    457,899/631,900.62 = 256,695/x
  3. Step 3: Cross multiply
    457,899x = 631,900.62 × 256,695
  4. Step 4: Simplify right side
    457,899x = 162,205,729,650.90
  5. Step 5: Solve for x
    x = 162,205,729,650.90/457,899
  6. Step 6: Final answer
    x = 354,239.10

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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.