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Finding the Fourth Proportional to 488,517.90, 732,900.78 and 204,159.30

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Solution

The fourth proportional to 488,517.90, 732,900.78 and 204,159.30 is: 306,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,517.90 : 732,900.78 = 204,159.30 : x
  2. Step 2: Convert to fraction form
    488,517.90/732,900.78 = 204,159.30/x
  3. Step 3: Cross multiply
    488,517.90x = 732,900.78 × 204,159.30
  4. Step 4: Simplify right side
    488,517.90x = 149,628,510,214.25
  5. Step 5: Solve for x
    x = 149,628,510,214.25/488,517.90
  6. Step 6: Final answer
    x = 306,290.74

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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.