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Finding the Fourth Proportional to 543,814.20, 814,943.70 and 400,541.40

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Solution

The fourth proportional to 543,814.20, 814,943.70 and 400,541.40 is: 600,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,814.20 : 814,943.70 = 400,541.40 : x
  2. Step 2: Convert to fraction form
    543,814.20/814,943.70 = 400,541.40/x
  3. Step 3: Cross multiply
    543,814.20x = 814,943.70 × 400,541.40
  4. Step 4: Simplify right side
    543,814.20x = 326,418,690,519.18
  5. Step 5: Solve for x
    x = 326,418,690,519.18/543,814.20
  6. Step 6: Final answer
    x = 600,239.37

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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.