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Finding the Fourth Proportional to 319,537.80, 479,187.10 and 137,145.58

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Solution

The fourth proportional to 319,537.80, 479,187.10 and 137,145.58 is: 205,667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,537.80 : 479,187.10 = 137,145.58 : x
  2. Step 2: Convert to fraction form
    319,537.80/479,187.10 = 137,145.58/x
  3. Step 3: Cross multiply
    319,537.80x = 479,187.10 × 137,145.58
  4. Step 4: Simplify right side
    319,537.80x = 65,718,392,758.02
  5. Step 5: Solve for x
    x = 65,718,392,758.02/319,537.80
  6. Step 6: Final answer
    x = 205,667.04

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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.