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Finding the Fourth Proportional to 298,813.60, 447,710.10 and 140,717.80

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Solution

The fourth proportional to 298,813.60, 447,710.10 and 140,717.80 is: 210,836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,813.60 : 447,710.10 = 140,717.80 : x
  2. Step 2: Convert to fraction form
    298,813.60/447,710.10 = 140,717.80/x
  3. Step 3: Cross multiply
    298,813.60x = 447,710.10 × 140,717.80
  4. Step 4: Simplify right side
    298,813.60x = 63,000,780,309.78
  5. Step 5: Solve for x
    x = 63,000,780,309.78/298,813.60
  6. Step 6: Final answer
    x = 210,836.39

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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.