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Finding the Fourth Proportional to 321,781.74, 444,053.10 and 178,539.30

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Solution

The fourth proportional to 321,781.74, 444,053.10 and 178,539.30 is: 246,381.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,781.74 : 444,053.10 = 178,539.30 : x
  2. Step 2: Convert to fraction form
    321,781.74/444,053.10 = 178,539.30/x
  3. Step 3: Cross multiply
    321,781.74x = 444,053.10 × 178,539.30
  4. Step 4: Simplify right side
    321,781.74x = 79,280,929,636.83
  5. Step 5: Solve for x
    x = 79,280,929,636.83/321,781.74
  6. Step 6: Final answer
    x = 246,381.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.