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Finding the Fourth Proportional to 480,609.65, 721,267.13 and 214,544.70

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Solution

The fourth proportional to 480,609.65, 721,267.13 and 214,544.70 is: 321,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,609.65 : 721,267.13 = 214,544.70 : x
  2. Step 2: Convert to fraction form
    480,609.65/721,267.13 = 214,544.70/x
  3. Step 3: Cross multiply
    480,609.65x = 721,267.13 × 214,544.70
  4. Step 4: Simplify right side
    480,609.65x = 154,744,040,562.07
  5. Step 5: Solve for x
    x = 154,744,040,562.07/480,609.65
  6. Step 6: Final answer
    x = 321,974.48

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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.