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Finding the Fourth Proportional to 287,287.80, 396,526.92 and 166,409.52

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Solution

The fourth proportional to 287,287.80, 396,526.92 and 166,409.52 is: 229,685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,287.80 : 396,526.92 = 166,409.52 : x
  2. Step 2: Convert to fraction form
    287,287.80/396,526.92 = 166,409.52/x
  3. Step 3: Cross multiply
    287,287.80x = 396,526.92 × 166,409.52
  4. Step 4: Simplify right side
    287,287.80x = 65,985,854,424.28
  5. Step 5: Solve for x
    x = 65,985,854,424.28/287,287.80
  6. Step 6: Final answer
    x = 229,685.54

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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.