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Finding the Fourth Proportional to 298,002.17, 447,003.25 and 87,640.11

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Solution

The fourth proportional to 298,002.17, 447,003.25 and 87,640.11 is: 131,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,002.17 : 447,003.25 = 87,640.11 : x
  2. Step 2: Convert to fraction form
    298,002.17/447,003.25 = 87,640.11/x
  3. Step 3: Cross multiply
    298,002.17x = 447,003.25 × 87,640.11
  4. Step 4: Simplify right side
    298,002.17x = 39,175,414,000.36
  5. Step 5: Solve for x
    x = 39,175,414,000.36/298,002.17
  6. Step 6: Final answer
    x = 131,460.16

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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.