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Finding the Fourth Proportional to 502,759.56, 693,957.76 and 288,042.60

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Solution

The fourth proportional to 502,759.56, 693,957.76 and 288,042.60 is: 397,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,759.56 : 693,957.76 = 288,042.60 : x
  2. Step 2: Convert to fraction form
    502,759.56/693,957.76 = 288,042.60/x
  3. Step 3: Cross multiply
    502,759.56x = 693,957.76 × 288,042.60
  4. Step 4: Simplify right side
    502,759.56x = 199,889,397,480.58
  5. Step 5: Solve for x
    x = 199,889,397,480.58/502,759.56
  6. Step 6: Final answer
    x = 397,584.48

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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.