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Finding the Fourth Proportional to 319,874.64, 479,879.62 and 120,196.76

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Solution

The fourth proportional to 319,874.64, 479,879.62 and 120,196.76 is: 180,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,874.64 : 479,879.62 = 120,196.76 : x
  2. Step 2: Convert to fraction form
    319,874.64/479,879.62 = 120,196.76/x
  3. Step 3: Cross multiply
    319,874.64x = 479,879.62 × 120,196.76
  4. Step 4: Simplify right side
    319,874.64x = 57,679,973,490.25
  5. Step 5: Solve for x
    x = 57,679,973,490.25/319,874.64
  6. Step 6: Final answer
    x = 180,320.56

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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.