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Finding the Fourth Proportional to 353,726.66, 488,087.79 and 202,794.50

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Solution

The fourth proportional to 353,726.66, 488,087.79 and 202,794.50 is: 279,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,726.66 : 488,087.79 = 202,794.50 : x
  2. Step 2: Convert to fraction form
    353,726.66/488,087.79 = 202,794.50/x
  3. Step 3: Cross multiply
    353,726.66x = 488,087.79 × 202,794.50
  4. Step 4: Simplify right side
    353,726.66x = 98,981,519,329.16
  5. Step 5: Solve for x
    x = 98,981,519,329.16/353,726.66
  6. Step 6: Final answer
    x = 279,824.88

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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.