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Finding the Fourth Proportional to 326,109.77, 489,167.25 and 133,934.68

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Solution

The fourth proportional to 326,109.77, 489,167.25 and 133,934.68 is: 200,903.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,109.77 : 489,167.25 = 133,934.68 : x
  2. Step 2: Convert to fraction form
    326,109.77/489,167.25 = 133,934.68/x
  3. Step 3: Cross multiply
    326,109.77x = 489,167.25 × 133,934.68
  4. Step 4: Simplify right side
    326,109.77x = 65,516,457,894.14
  5. Step 5: Solve for x
    x = 65,516,457,894.14/326,109.77
  6. Step 6: Final answer
    x = 200,903.09

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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.