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Finding the Fourth Proportional to 215,287.40, 322,947.61 and 65,540.48

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Solution

The fourth proportional to 215,287.40, 322,947.61 and 65,540.48 is: 98,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,287.40 : 322,947.61 = 65,540.48 : x
  2. Step 2: Convert to fraction form
    215,287.40/322,947.61 = 65,540.48/x
  3. Step 3: Cross multiply
    215,287.40x = 322,947.61 × 65,540.48
  4. Step 4: Simplify right side
    215,287.40x = 21,166,139,595.66
  5. Step 5: Solve for x
    x = 21,166,139,595.66/215,287.40
  6. Step 6: Final answer
    x = 98,315.74

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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.