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Finding the Fourth Proportional to 667,437, 1,001,144.88 and 162,002.16

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Solution

The fourth proportional to 667,437, 1,001,144.88 and 162,002.16 is: 243,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,437 : 1,001,144.88 = 162,002.16 : x
  2. Step 2: Convert to fraction form
    667,437/1,001,144.88 = 162,002.16/x
  3. Step 3: Cross multiply
    667,437x = 1,001,144.88 × 162,002.16
  4. Step 4: Simplify right side
    667,437x = 162,187,633,032.94
  5. Step 5: Solve for x
    x = 162,187,633,032.94/667,437
  6. Step 6: Final answer
    x = 243,000.66

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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.