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Finding the Fourth Proportional to 380,169.50, 570,232.11 and 99,686.66

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Solution

The fourth proportional to 380,169.50, 570,232.11 and 99,686.66 is: 149,524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,169.50 : 570,232.11 = 99,686.66 : x
  2. Step 2: Convert to fraction form
    380,169.50/570,232.11 = 99,686.66/x
  3. Step 3: Cross multiply
    380,169.50x = 570,232.11 × 99,686.66
  4. Step 4: Simplify right side
    380,169.50x = 56,844,534,470.65
  5. Step 5: Solve for x
    x = 56,844,534,470.65/380,169.50
  6. Step 6: Final answer
    x = 149,524.18

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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.