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Finding the Fourth Proportional to 324,437.25, 486,655.89 and 102,821.25

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Solution

The fourth proportional to 324,437.25, 486,655.89 and 102,821.25 is: 154,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,437.25 : 486,655.89 = 102,821.25 : x
  2. Step 2: Convert to fraction form
    324,437.25/486,655.89 = 102,821.25/x
  3. Step 3: Cross multiply
    324,437.25x = 486,655.89 × 102,821.25
  4. Step 4: Simplify right side
    324,437.25x = 50,038,566,929.66
  5. Step 5: Solve for x
    x = 50,038,566,929.66/324,437.25
  6. Step 6: Final answer
    x = 154,231.88

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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.