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Finding the Fourth Proportional to 319,613.92, 479,588.32 and 120,072

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Solution

The fourth proportional to 319,613.92, 479,588.32 and 120,072 is: 180,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,613.92 : 479,588.32 = 120,072 : x
  2. Step 2: Convert to fraction form
    319,613.92/479,588.32 = 120,072/x
  3. Step 3: Cross multiply
    319,613.92x = 479,588.32 × 120,072
  4. Step 4: Simplify right side
    319,613.92x = 57,585,128,759.04
  5. Step 5: Solve for x
    x = 57,585,128,759.04/319,613.92
  6. Step 6: Final answer
    x = 180,170.90

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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.