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Finding the Fourth Proportional to 320,173.92, 480,508.70 and 120,675.76

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Solution

The fourth proportional to 320,173.92, 480,508.70 and 120,675.76 is: 181,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,173.92 : 480,508.70 = 120,675.76 : x
  2. Step 2: Convert to fraction form
    320,173.92/480,508.70 = 120,675.76/x
  3. Step 3: Cross multiply
    320,173.92x = 480,508.70 × 120,675.76
  4. Step 4: Simplify right side
    320,173.92x = 57,985,752,559.11
  5. Step 5: Solve for x
    x = 57,985,752,559.11/320,173.92
  6. Step 6: Final answer
    x = 181,107.05

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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.