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Finding the Fourth Proportional to 298,002.83, 447,004.22 and 87,640.76

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Solution

The fourth proportional to 298,002.83, 447,004.22 and 87,640.76 is: 131,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,002.83 : 447,004.22 = 87,640.76 : x
  2. Step 2: Convert to fraction form
    298,002.83/447,004.22 = 87,640.76/x
  3. Step 3: Cross multiply
    298,002.83x = 447,004.22 × 87,640.76
  4. Step 4: Simplify right side
    298,002.83x = 39,175,790,243.31
  5. Step 5: Solve for x
    x = 39,175,790,243.31/298,002.83
  6. Step 6: Final answer
    x = 131,461.14

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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.