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Finding the Fourth Proportional to 457,899.50, 631,901.31 and 256,695.50

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Solution

The fourth proportional to 457,899.50, 631,901.31 and 256,695.50 is: 354,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,899.50 : 631,901.31 = 256,695.50 : x
  2. Step 2: Convert to fraction form
    457,899.50/631,901.31 = 256,695.50/x
  3. Step 3: Cross multiply
    457,899.50x = 631,901.31 × 256,695.50
  4. Step 4: Simplify right side
    457,899.50x = 162,206,222,721.11
  5. Step 5: Solve for x
    x = 162,206,222,721.11/457,899.50
  6. Step 6: Final answer
    x = 354,239.79

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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.