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Finding the Fourth Proportional to 287,542.69, 396,810.50 and 166,755.60

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Solution

The fourth proportional to 287,542.69, 396,810.50 and 166,755.60 is: 230,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,542.69 : 396,810.50 = 166,755.60 : x
  2. Step 2: Convert to fraction form
    287,542.69/396,810.50 = 166,755.60/x
  3. Step 3: Cross multiply
    287,542.69x = 396,810.50 × 166,755.60
  4. Step 4: Simplify right side
    287,542.69x = 66,170,373,013.80
  5. Step 5: Solve for x
    x = 66,170,373,013.80/287,542.69
  6. Step 6: Final answer
    x = 230,123.65

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1.5x scale

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.