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Finding the Fourth Proportional to 543,284.80, 814,271.10 and 276,908.20

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Solution

The fourth proportional to 543,284.80, 814,271.10 and 276,908.20 is: 415,027.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,284.80 : 814,271.10 = 276,908.20 : x
  2. Step 2: Convert to fraction form
    543,284.80/814,271.10 = 276,908.20/x
  3. Step 3: Cross multiply
    543,284.80x = 814,271.10 × 276,908.20
  4. Step 4: Simplify right side
    543,284.80x = 225,478,344,613.02
  5. Step 5: Solve for x
    x = 225,478,344,613.02/543,284.80
  6. Step 6: Final answer
    x = 415,027.89

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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.