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Finding the Fourth Proportional to 408,214.98, 612,601.11 and 141,972.84

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Solution

The fourth proportional to 408,214.98, 612,601.11 and 141,972.84 is: 213,056.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,214.98 : 612,601.11 = 141,972.84 : x
  2. Step 2: Convert to fraction form
    408,214.98/612,601.11 = 141,972.84/x
  3. Step 3: Cross multiply
    408,214.98x = 612,601.11 × 141,972.84
  4. Step 4: Simplify right side
    408,214.98x = 86,972,719,373.85
  5. Step 5: Solve for x
    x = 86,972,719,373.85/408,214.98
  6. Step 6: Final answer
    x = 213,056.17

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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.