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Finding the Fourth Proportional to 321,397.20, 482,009.40 and 96,757.20

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Solution

The fourth proportional to 321,397.20, 482,009.40 and 96,757.20 is: 145,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,397.20 : 482,009.40 = 96,757.20 : x
  2. Step 2: Convert to fraction form
    321,397.20/482,009.40 = 96,757.20/x
  3. Step 3: Cross multiply
    321,397.20x = 482,009.40 × 96,757.20
  4. Step 4: Simplify right side
    321,397.20x = 46,637,879,917.68
  5. Step 5: Solve for x
    x = 46,637,879,917.68/321,397.20
  6. Step 6: Final answer
    x = 145,109.79

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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.