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Finding the Fourth Proportional to 326,537.40, 489,713.32 and 126,815.16

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Solution

The fourth proportional to 326,537.40, 489,713.32 and 126,815.16 is: 190,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,537.40 : 489,713.32 = 126,815.16 : x
  2. Step 2: Convert to fraction form
    326,537.40/489,713.32 = 126,815.16/x
  3. Step 3: Cross multiply
    326,537.40x = 489,713.32 × 126,815.16
  4. Step 4: Simplify right side
    326,537.40x = 62,103,073,029.93
  5. Step 5: Solve for x
    x = 62,103,073,029.93/326,537.40
  6. Step 6: Final answer
    x = 190,186.71

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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.