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Finding the Fourth Proportional to 401,243.80, 601,868.94 and 326,276.68

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Solution

The fourth proportional to 401,243.80, 601,868.94 and 326,276.68 is: 489,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,243.80 : 601,868.94 = 326,276.68 : x
  2. Step 2: Convert to fraction form
    401,243.80/601,868.94 = 326,276.68/x
  3. Step 3: Cross multiply
    401,243.80x = 601,868.94 × 326,276.68
  4. Step 4: Simplify right side
    401,243.80x = 196,375,799,538.32
  5. Step 5: Solve for x
    x = 196,375,799,538.32/401,243.80
  6. Step 6: Final answer
    x = 489,417.65

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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.