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Finding the Fourth Proportional to 284,072.70, 392,540.01 and 270,234.46

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Solution

The fourth proportional to 284,072.70, 392,540.01 and 270,234.46 is: 373,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,072.70 : 392,540.01 = 270,234.46 : x
  2. Step 2: Convert to fraction form
    284,072.70/392,540.01 = 270,234.46/x
  3. Step 3: Cross multiply
    284,072.70x = 392,540.01 × 270,234.46
  4. Step 4: Simplify right side
    284,072.70x = 106,077,834,316.87
  5. Step 5: Solve for x
    x = 106,077,834,316.87/284,072.70
  6. Step 6: Final answer
    x = 373,417.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.