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Finding the Fourth Proportional to 204,577.60, 306,866.40 and 64,379.20

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Solution

The fourth proportional to 204,577.60, 306,866.40 and 64,379.20 is: 96,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,577.60 : 306,866.40 = 64,379.20 : x
  2. Step 2: Convert to fraction form
    204,577.60/306,866.40 = 64,379.20/x
  3. Step 3: Cross multiply
    204,577.60x = 306,866.40 × 64,379.20
  4. Step 4: Simplify right side
    204,577.60x = 19,755,813,338.88
  5. Step 5: Solve for x
    x = 19,755,813,338.88/204,577.60
  6. Step 6: Final answer
    x = 96,568.80

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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.