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Finding the Fourth Proportional to 442,251.60, 662,647.80 and 254,936.40

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Solution

The fourth proportional to 442,251.60, 662,647.80 and 254,936.40 is: 381,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,251.60 : 662,647.80 = 254,936.40 : x
  2. Step 2: Convert to fraction form
    442,251.60/662,647.80 = 254,936.40/x
  3. Step 3: Cross multiply
    442,251.60x = 662,647.80 × 254,936.40
  4. Step 4: Simplify right side
    442,251.60x = 168,933,044,599.92
  5. Step 5: Solve for x
    x = 168,933,044,599.92/442,251.60
  6. Step 6: Final answer
    x = 381,984.02

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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.