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Finding the Fourth Proportional to 287,167.28, 396,290.80 and 159,840.12

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Solution

The fourth proportional to 287,167.28, 396,290.80 and 159,840.12 is: 220,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,167.28 : 396,290.80 = 159,840.12 : x
  2. Step 2: Convert to fraction form
    287,167.28/396,290.80 = 159,840.12/x
  3. Step 3: Cross multiply
    287,167.28x = 396,290.80 × 159,840.12
  4. Step 4: Simplify right side
    287,167.28x = 63,343,169,026.90
  5. Step 5: Solve for x
    x = 63,343,169,026.90/287,167.28
  6. Step 6: Final answer
    x = 220,579.34

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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.