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Finding the Fourth Proportional to 287,432.34, 396,630.90 and 160,105.20

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Solution

The fourth proportional to 287,432.34, 396,630.90 and 160,105.20 is: 220,930.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,432.34 : 396,630.90 = 160,105.20 : x
  2. Step 2: Convert to fraction form
    287,432.34/396,630.90 = 160,105.20/x
  3. Step 3: Cross multiply
    287,432.34x = 396,630.90 × 160,105.20
  4. Step 4: Simplify right side
    287,432.34x = 63,502,669,570.68
  5. Step 5: Solve for x
    x = 63,502,669,570.68/287,432.34
  6. Step 6: Final answer
    x = 220,930.84

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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.