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Finding the Fourth Proportional to 287,048.96, 396,143.12 and 159,727.32

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Solution

The fourth proportional to 287,048.96, 396,143.12 and 159,727.32 is: 220,432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,048.96 : 396,143.12 = 159,727.32 : x
  2. Step 2: Convert to fraction form
    287,048.96/396,143.12 = 159,727.32/x
  3. Step 3: Cross multiply
    287,048.96x = 396,143.12 × 159,727.32
  4. Step 4: Simplify right side
    287,048.96x = 63,274,878,894.04
  5. Step 5: Solve for x
    x = 63,274,878,894.04/287,048.96
  6. Step 6: Final answer
    x = 220,432.36

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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.