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Finding the Fourth Proportional to 667,999.80, 1,002,038.10 and 194,758.20

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Solution

The fourth proportional to 667,999.80, 1,002,038.10 and 194,758.20 is: 292,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,999.80 : 1,002,038.10 = 194,758.20 : x
  2. Step 2: Convert to fraction form
    667,999.80/1,002,038.10 = 194,758.20/x
  3. Step 3: Cross multiply
    667,999.80x = 1,002,038.10 × 194,758.20
  4. Step 4: Simplify right side
    667,999.80x = 195,155,136,687.42
  5. Step 5: Solve for x
    x = 195,155,136,687.42/667,999.80
  6. Step 6: Final answer
    x = 292,148.50

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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.