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Finding the Fourth Proportional to 342,003.48, 512,979.30 and 120,231.96

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Solution

The fourth proportional to 342,003.48, 512,979.30 and 120,231.96 is: 180,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,003.48 : 512,979.30 = 120,231.96 : x
  2. Step 2: Convert to fraction form
    342,003.48/512,979.30 = 120,231.96/x
  3. Step 3: Cross multiply
    342,003.48x = 512,979.30 × 120,231.96
  4. Step 4: Simplify right side
    342,003.48x = 61,676,506,678.43
  5. Step 5: Solve for x
    x = 61,676,506,678.43/342,003.48
  6. Step 6: Final answer
    x = 180,338.83

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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.