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Finding the Fourth Proportional to 320,387.82, 480,581.76 and 120,753

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Solution

The fourth proportional to 320,387.82, 480,581.76 and 120,753 is: 181,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,387.82 : 480,581.76 = 120,753 : x
  2. Step 2: Convert to fraction form
    320,387.82/480,581.76 = 120,753/x
  3. Step 3: Cross multiply
    320,387.82x = 480,581.76 × 120,753
  4. Step 4: Simplify right side
    320,387.82x = 58,031,689,265.28
  5. Step 5: Solve for x
    x = 58,031,689,265.28/320,387.82
  6. Step 6: Final answer
    x = 181,129.51

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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.