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Finding the Fourth Proportional to 287,670.56, 396,990.59 and 160,332.48

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Solution

The fourth proportional to 287,670.56, 396,990.59 and 160,332.48 is: 221,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,670.56 : 396,990.59 = 160,332.48 : x
  2. Step 2: Convert to fraction form
    287,670.56/396,990.59 = 160,332.48/x
  3. Step 3: Cross multiply
    287,670.56x = 396,990.59 × 160,332.48
  4. Step 4: Simplify right side
    287,670.56x = 63,650,485,029.70
  5. Step 5: Solve for x
    x = 63,650,485,029.70/287,670.56
  6. Step 6: Final answer
    x = 221,261.73

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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.