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Finding the Fourth Proportional to 321,206, 481,838.70 and 84,549.92

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Solution

The fourth proportional to 321,206, 481,838.70 and 84,549.92 is: 126,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,206 : 481,838.70 = 84,549.92 : x
  2. Step 2: Convert to fraction form
    321,206/481,838.70 = 84,549.92/x
  3. Step 3: Cross multiply
    321,206x = 481,838.70 × 84,549.92
  4. Step 4: Simplify right side
    321,206x = 40,739,423,537.90
  5. Step 5: Solve for x
    x = 40,739,423,537.90/321,206
  6. Step 6: Final answer
    x = 126,832.70

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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.