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Finding the Fourth Proportional to 287,645.76, 396,960.48 and 160,348.32

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Solution

The fourth proportional to 287,645.76, 396,960.48 and 160,348.32 is: 221,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,645.76 : 396,960.48 = 160,348.32 : x
  2. Step 2: Convert to fraction form
    287,645.76/396,960.48 = 160,348.32/x
  3. Step 3: Cross multiply
    287,645.76x = 396,960.48 × 160,348.32
  4. Step 4: Simplify right side
    287,645.76x = 63,651,946,074.39
  5. Step 5: Solve for x
    x = 63,651,946,074.39/287,645.76
  6. Step 6: Final answer
    x = 221,285.88

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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.