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Finding the Fourth Proportional to 321,204, 481,835.70 and 84,547.92

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Solution

The fourth proportional to 321,204, 481,835.70 and 84,547.92 is: 126,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,204 : 481,835.70 = 84,547.92 : x
  2. Step 2: Convert to fraction form
    321,204/481,835.70 = 84,547.92/x
  3. Step 3: Cross multiply
    321,204x = 481,835.70 × 84,547.92
  4. Step 4: Simplify right side
    321,204x = 40,738,206,216.74
  5. Step 5: Solve for x
    x = 40,738,206,216.74/321,204
  6. Step 6: Final answer
    x = 126,829.70

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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.