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Finding the Fourth Proportional to 661,638.24, 992,468.70 and 188,335.80

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Solution

The fourth proportional to 661,638.24, 992,468.70 and 188,335.80 is: 282,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,638.24 : 992,468.70 = 188,335.80 : x
  2. Step 2: Convert to fraction form
    661,638.24/992,468.70 = 188,335.80/x
  3. Step 3: Cross multiply
    661,638.24x = 992,468.70 × 188,335.80
  4. Step 4: Simplify right side
    661,638.24x = 186,917,386,589.46
  5. Step 5: Solve for x
    x = 186,917,386,589.46/661,638.24
  6. Step 6: Final answer
    x = 282,506.93

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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.