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Finding the Fourth Proportional to 310,764.65, 466,170.47 and 86,122.49

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Solution

The fourth proportional to 310,764.65, 466,170.47 and 86,122.49 is: 129,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,764.65 : 466,170.47 = 86,122.49 : x
  2. Step 2: Convert to fraction form
    310,764.65/466,170.47 = 86,122.49/x
  3. Step 3: Cross multiply
    310,764.65x = 466,170.47 × 86,122.49
  4. Step 4: Simplify right side
    310,764.65x = 40,147,758,879.41
  5. Step 5: Solve for x
    x = 40,147,758,879.41/310,764.65
  6. Step 6: Final answer
    x = 129,190.24

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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.