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Finding the Fourth Proportional to 215,306.76, 322,960.86 and 65,548.20

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Solution

The fourth proportional to 215,306.76, 322,960.86 and 65,548.20 is: 98,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,306.76 : 322,960.86 = 65,548.20 : x
  2. Step 2: Convert to fraction form
    215,306.76/322,960.86 = 65,548.20/x
  3. Step 3: Cross multiply
    215,306.76x = 322,960.86 × 65,548.20
  4. Step 4: Simplify right side
    215,306.76x = 21,169,503,043.45
  5. Step 5: Solve for x
    x = 21,169,503,043.45/215,306.76
  6. Step 6: Final answer
    x = 98,322.52

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1.5x scale

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.