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Finding the Fourth Proportional to 257,047.88, 354,727.86 and 149,680.52

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Solution

The fourth proportional to 257,047.88, 354,727.86 and 149,680.52 is: 206,560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,047.88 : 354,727.86 = 149,680.52 : x
  2. Step 2: Convert to fraction form
    257,047.88/354,727.86 = 149,680.52/x
  3. Step 3: Cross multiply
    257,047.88x = 354,727.86 × 149,680.52
  4. Step 4: Simplify right side
    257,047.88x = 53,095,850,543.29
  5. Step 5: Solve for x
    x = 53,095,850,543.29/257,047.88
  6. Step 6: Final answer
    x = 206,560.16

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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.