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Finding the Fourth Proportional to 213,657.28, 320,259.90 and 80,479.90

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Solution

The fourth proportional to 213,657.28, 320,259.90 and 80,479.90 is: 120,634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,657.28 : 320,259.90 = 80,479.90 : x
  2. Step 2: Convert to fraction form
    213,657.28/320,259.90 = 80,479.90/x
  3. Step 3: Cross multiply
    213,657.28x = 320,259.90 × 80,479.90
  4. Step 4: Simplify right side
    213,657.28x = 25,774,484,726.01
  5. Step 5: Solve for x
    x = 25,774,484,726.01/213,657.28
  6. Step 6: Final answer
    x = 120,634.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.