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Finding the Fourth Proportional to 287,684.69, 396,988.02 and 165,148.47

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Solution

The fourth proportional to 287,684.69, 396,988.02 and 165,148.47 is: 227,895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,684.69 : 396,988.02 = 165,148.47 : x
  2. Step 2: Convert to fraction form
    287,684.69/396,988.02 = 165,148.47/x
  3. Step 3: Cross multiply
    287,684.69x = 396,988.02 × 165,148.47
  4. Step 4: Simplify right side
    287,684.69x = 65,561,964,111.33
  5. Step 5: Solve for x
    x = 65,561,964,111.33/287,684.69
  6. Step 6: Final answer
    x = 227,895.22

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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.