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Finding the Fourth Proportional to 287,671.77, 396,987.48 and 160,344.63

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Solution

The fourth proportional to 287,671.77, 396,987.48 and 160,344.63 is: 221,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,671.77 : 396,987.48 = 160,344.63 : x
  2. Step 2: Convert to fraction form
    287,671.77/396,987.48 = 160,344.63/x
  3. Step 3: Cross multiply
    287,671.77x = 396,987.48 × 160,344.63
  4. Step 4: Simplify right side
    287,671.77x = 63,654,810,595.23
  5. Step 5: Solve for x
    x = 63,654,810,595.23/287,671.77
  6. Step 6: Final answer
    x = 221,275.83

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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.