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Finding the Fourth Proportional to 319,642.32, 479,338.74 and 119,853.72

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Solution

The fourth proportional to 319,642.32, 479,338.74 and 119,853.72 is: 179,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,642.32 : 479,338.74 = 119,853.72 : x
  2. Step 2: Convert to fraction form
    319,642.32/479,338.74 = 119,853.72/x
  3. Step 3: Cross multiply
    319,642.32x = 479,338.74 × 119,853.72
  4. Step 4: Simplify right side
    319,642.32x = 57,450,531,129.11
  5. Step 5: Solve for x
    x = 57,450,531,129.11/319,642.32
  6. Step 6: Final answer
    x = 179,733.81

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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.