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Finding the Fourth Proportional to 326,226, 489,409.40 and 101,581.84

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Solution

The fourth proportional to 326,226, 489,409.40 and 101,581.84 is: 152,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,226 : 489,409.40 = 101,581.84 : x
  2. Step 2: Convert to fraction form
    326,226/489,409.40 = 101,581.84/x
  3. Step 3: Cross multiply
    326,226x = 489,409.40 × 101,581.84
  4. Step 4: Simplify right side
    326,226x = 49,715,107,365.30
  5. Step 5: Solve for x
    x = 49,715,107,365.30/326,226
  6. Step 6: Final answer
    x = 152,394.68

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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.