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Finding the Fourth Proportional to 419,191.39, 628,879.86 and 152,951.14

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Solution

The fourth proportional to 419,191.39, 628,879.86 and 152,951.14 is: 229,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,191.39 : 628,879.86 = 152,951.14 : x
  2. Step 2: Convert to fraction form
    419,191.39/628,879.86 = 152,951.14/x
  3. Step 3: Cross multiply
    419,191.39x = 628,879.86 × 152,951.14
  4. Step 4: Simplify right side
    419,191.39x = 96,187,891,510.04
  5. Step 5: Solve for x
    x = 96,187,891,510.04/419,191.39
  6. Step 6: Final answer
    x = 229,460.56

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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.