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Finding the Fourth Proportional to 320,442.96, 480,665.46 and 120,709.68

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Solution

The fourth proportional to 320,442.96, 480,665.46 and 120,709.68 is: 181,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,442.96 : 480,665.46 = 120,709.68 : x
  2. Step 2: Convert to fraction form
    320,442.96/480,665.46 = 120,709.68/x
  3. Step 3: Cross multiply
    320,442.96x = 480,665.46 × 120,709.68
  4. Step 4: Simplify right side
    320,442.96x = 58,020,973,863.65
  5. Step 5: Solve for x
    x = 58,020,973,863.65/320,442.96
  6. Step 6: Final answer
    x = 181,064.90

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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.