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Finding the Fourth Proportional to 543,148.20, 814,916.70 and 227,701.80

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Solution

The fourth proportional to 543,148.20, 814,916.70 and 227,701.80 is: 341,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,148.20 : 814,916.70 = 227,701.80 : x
  2. Step 2: Convert to fraction form
    543,148.20/814,916.70 = 227,701.80/x
  3. Step 3: Cross multiply
    543,148.20x = 814,916.70 × 227,701.80
  4. Step 4: Simplify right side
    543,148.20x = 185,557,999,440.06
  5. Step 5: Solve for x
    x = 185,557,999,440.06/543,148.20
  6. Step 6: Final answer
    x = 341,634.20

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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.