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Finding the Fourth Proportional to 320,053.20, 480,079.80 and 109,693.20

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Solution

The fourth proportional to 320,053.20, 480,079.80 and 109,693.20 is: 164,539.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,053.20 : 480,079.80 = 109,693.20 : x
  2. Step 2: Convert to fraction form
    320,053.20/480,079.80 = 109,693.20/x
  3. Step 3: Cross multiply
    320,053.20x = 480,079.80 × 109,693.20
  4. Step 4: Simplify right side
    320,053.20x = 52,661,489,517.36
  5. Step 5: Solve for x
    x = 52,661,489,517.36/320,053.20
  6. Step 6: Final answer
    x = 164,539.80

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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.