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Finding the Fourth Proportional to 319,424.55, 479,832.60 and 193,124.31

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Solution

The fourth proportional to 319,424.55, 479,832.60 and 193,124.31 is: 290,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,424.55 : 479,832.60 = 193,124.31 : x
  2. Step 2: Convert to fraction form
    319,424.55/479,832.60 = 193,124.31/x
  3. Step 3: Cross multiply
    319,424.55x = 479,832.60 × 193,124.31
  4. Step 4: Simplify right side
    319,424.55x = 92,667,339,790.51
  5. Step 5: Solve for x
    x = 92,667,339,790.51/319,424.55
  6. Step 6: Final answer
    x = 290,107.13

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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.