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Finding the Fourth Proportional to 320,493.76, 480,767.92 and 83,836.08

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Solution

The fourth proportional to 320,493.76, 480,767.92 and 83,836.08 is: 125,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,493.76 : 480,767.92 = 83,836.08 : x
  2. Step 2: Convert to fraction form
    320,493.76/480,767.92 = 83,836.08/x
  3. Step 3: Cross multiply
    320,493.76x = 480,767.92 × 83,836.08
  4. Step 4: Simplify right side
    320,493.76x = 40,305,697,802.55
  5. Step 5: Solve for x
    x = 40,305,697,802.55/320,493.76
  6. Step 6: Final answer
    x = 125,761.26

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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.