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Finding the Fourth Proportional to 287,290.80, 396,531.06 and 166,412.52

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Solution

The fourth proportional to 287,290.80, 396,531.06 and 166,412.52 is: 229,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,290.80 : 396,531.06 = 166,412.52 : x
  2. Step 2: Convert to fraction form
    287,290.80/396,531.06 = 166,412.52/x
  3. Step 3: Cross multiply
    287,290.80x = 396,531.06 × 166,412.52
  4. Step 4: Simplify right side
    287,290.80x = 65,987,732,952.87
  5. Step 5: Solve for x
    x = 65,987,732,952.87/287,290.80
  6. Step 6: Final answer
    x = 229,689.68

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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.