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Finding the Fourth Proportional to 412,118.55, 618,266.61 and 127,803.42

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Solution

The fourth proportional to 412,118.55, 618,266.61 and 127,803.42 is: 191,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,118.55 : 618,266.61 = 127,803.42 : x
  2. Step 2: Convert to fraction form
    412,118.55/618,266.61 = 127,803.42/x
  3. Step 3: Cross multiply
    412,118.55x = 618,266.61 × 127,803.42
  4. Step 4: Simplify right side
    412,118.55x = 79,016,587,229.81
  5. Step 5: Solve for x
    x = 79,016,587,229.81/412,118.55
  6. Step 6: Final answer
    x = 191,732.66

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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.