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Finding the Fourth Proportional to 298,905.30, 447,753.15 and 186,239.70

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Solution

The fourth proportional to 298,905.30, 447,753.15 and 186,239.70 is: 278,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,905.30 : 447,753.15 = 186,239.70 : x
  2. Step 2: Convert to fraction form
    298,905.30/447,753.15 = 186,239.70/x
  3. Step 3: Cross multiply
    298,905.30x = 447,753.15 × 186,239.70
  4. Step 4: Simplify right side
    298,905.30x = 83,389,412,330.06
  5. Step 5: Solve for x
    x = 83,389,412,330.06/298,905.30
  6. Step 6: Final answer
    x = 278,982.72

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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.