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Finding the Fourth Proportional to 667,633, 1,001,607 and 218,352.12

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Solution

The fourth proportional to 667,633, 1,001,607 and 218,352.12 is: 327,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,633 : 1,001,607 = 218,352.12 : x
  2. Step 2: Convert to fraction form
    667,633/1,001,607 = 218,352.12/x
  3. Step 3: Cross multiply
    667,633x = 1,001,607 × 218,352.12
  4. Step 4: Simplify right side
    667,633x = 218,703,011,856.84
  5. Step 5: Solve for x
    x = 218,703,011,856.84/667,633
  6. Step 6: Final answer
    x = 327,579.69

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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.