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Finding the Fourth Proportional to 661,643.24, 992,476.20 and 188,340.80

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Solution

The fourth proportional to 661,643.24, 992,476.20 and 188,340.80 is: 282,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,643.24 : 992,476.20 = 188,340.80 : x
  2. Step 2: Convert to fraction form
    661,643.24/992,476.20 = 188,340.80/x
  3. Step 3: Cross multiply
    661,643.24x = 992,476.20 × 188,340.80
  4. Step 4: Simplify right side
    661,643.24x = 186,923,761,488.96
  5. Step 5: Solve for x
    x = 186,923,761,488.96/661,643.24
  6. Step 6: Final answer
    x = 282,514.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.