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Finding the Fourth Proportional to 310,764.64, 466,170.46 and 86,122.48

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Solution

The fourth proportional to 310,764.64, 466,170.46 and 86,122.48 is: 129,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,764.64 : 466,170.46 = 86,122.48 : x
  2. Step 2: Convert to fraction form
    310,764.64/466,170.46 = 86,122.48/x
  3. Step 3: Cross multiply
    310,764.64x = 466,170.46 × 86,122.48
  4. Step 4: Simplify right side
    310,764.64x = 40,147,756,117.94
  5. Step 5: Solve for x
    x = 40,147,756,117.94/310,764.64
  6. Step 6: Final answer
    x = 129,190.23

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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.