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Finding the Fourth Proportional to 326,296.42, 489,467.95 and 136,565.87

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Solution

The fourth proportional to 326,296.42, 489,467.95 and 136,565.87 is: 204,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,296.42 : 489,467.95 = 136,565.87 : x
  2. Step 2: Convert to fraction form
    326,296.42/489,467.95 = 136,565.87/x
  3. Step 3: Cross multiply
    326,296.42x = 489,467.95 × 136,565.87
  4. Step 4: Simplify right side
    326,296.42x = 66,844,613,640.11
  5. Step 5: Solve for x
    x = 66,844,613,640.11/326,296.42
  6. Step 6: Final answer
    x = 204,858.56

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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.