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Finding the Fourth Proportional to 321,616.89, 482,357.61 and 207,422.64

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Solution

The fourth proportional to 321,616.89, 482,357.61 and 207,422.64 is: 311,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,616.89 : 482,357.61 = 207,422.64 : x
  2. Step 2: Convert to fraction form
    321,616.89/482,357.61 = 207,422.64/x
  3. Step 3: Cross multiply
    321,616.89x = 482,357.61 × 207,422.64
  4. Step 4: Simplify right side
    321,616.89x = 100,051,888,890.29
  5. Step 5: Solve for x
    x = 100,051,888,890.29/321,616.89
  6. Step 6: Final answer
    x = 311,090.28

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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.