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Finding the Fourth Proportional to 612,744.20, 919,145.10 and 192,033.80

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Solution

The fourth proportional to 612,744.20, 919,145.10 and 192,033.80 is: 288,059.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,744.20 : 919,145.10 = 192,033.80 : x
  2. Step 2: Convert to fraction form
    612,744.20/919,145.10 = 192,033.80/x
  3. Step 3: Cross multiply
    612,744.20x = 919,145.10 × 192,033.80
  4. Step 4: Simplify right side
    612,744.20x = 176,506,926,304.38
  5. Step 5: Solve for x
    x = 176,506,926,304.38/612,744.20
  6. Step 6: Final answer
    x = 288,059.73

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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.