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Finding the Fourth Proportional to 287,344.17, 396,506.57 and 160,031.61

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Solution

The fourth proportional to 287,344.17, 396,506.57 and 160,031.61 is: 220,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,344.17 : 396,506.57 = 160,031.61 : x
  2. Step 2: Convert to fraction form
    287,344.17/396,506.57 = 160,031.61/x
  3. Step 3: Cross multiply
    287,344.17x = 396,506.57 × 160,031.61
  4. Step 4: Simplify right side
    287,344.17x = 63,453,584,772.68
  5. Step 5: Solve for x
    x = 63,453,584,772.68/287,344.17
  6. Step 6: Final answer
    x = 220,827.81

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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.