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Finding the Fourth Proportional to 287,064.76, 396,144.12 and 159,739.24

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Solution

The fourth proportional to 287,064.76, 396,144.12 and 159,739.24 is: 220,437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,064.76 : 396,144.12 = 159,739.24 : x
  2. Step 2: Convert to fraction form
    287,064.76/396,144.12 = 159,739.24/x
  3. Step 3: Cross multiply
    287,064.76x = 396,144.12 × 159,739.24
  4. Step 4: Simplify right side
    287,064.76x = 63,279,760,659.27
  5. Step 5: Solve for x
    x = 63,279,760,659.27/287,064.76
  6. Step 6: Final answer
    x = 220,437.23

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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.