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Finding the Fourth Proportional to 298,146.47, 447,215.13 and 120,527.44

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Solution

The fourth proportional to 298,146.47, 447,215.13 and 120,527.44 is: 180,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,146.47 : 447,215.13 = 120,527.44 : x
  2. Step 2: Convert to fraction form
    298,146.47/447,215.13 = 120,527.44/x
  3. Step 3: Cross multiply
    298,146.47x = 447,215.13 × 120,527.44
  4. Step 4: Simplify right side
    298,146.47x = 53,901,693,630.13
  5. Step 5: Solve for x
    x = 53,901,693,630.13/298,146.47
  6. Step 6: Final answer
    x = 180,789.31

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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.