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Finding the Fourth Proportional to 353,231.52, 487,472.29 and 202,357.68

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Solution

The fourth proportional to 353,231.52, 487,472.29 and 202,357.68 is: 279,260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,231.52 : 487,472.29 = 202,357.68 : x
  2. Step 2: Convert to fraction form
    353,231.52/487,472.29 = 202,357.68/x
  3. Step 3: Cross multiply
    353,231.52x = 487,472.29 × 202,357.68
  4. Step 4: Simplify right side
    353,231.52x = 98,643,761,668.69
  5. Step 5: Solve for x
    x = 98,643,761,668.69/353,231.52
  6. Step 6: Final answer
    x = 279,260.93

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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.