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Finding the Fourth Proportional to 204,499.20, 306,748.80 and 64,257.60

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Solution

The fourth proportional to 204,499.20, 306,748.80 and 64,257.60 is: 96,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,499.20 : 306,748.80 = 64,257.60 : x
  2. Step 2: Convert to fraction form
    204,499.20/306,748.80 = 64,257.60/x
  3. Step 3: Cross multiply
    204,499.20x = 306,748.80 × 64,257.60
  4. Step 4: Simplify right side
    204,499.20x = 19,710,941,690.88
  5. Step 5: Solve for x
    x = 19,710,941,690.88/204,499.20
  6. Step 6: Final answer
    x = 96,386.40

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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.