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Finding the Fourth Proportional to 543,345.12, 814,909.86 and 273,401.28

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Solution

The fourth proportional to 543,345.12, 814,909.86 and 273,401.28 is: 410,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,345.12 : 814,909.86 = 273,401.28 : x
  2. Step 2: Convert to fraction form
    543,345.12/814,909.86 = 273,401.28/x
  3. Step 3: Cross multiply
    543,345.12x = 814,909.86 × 273,401.28
  4. Step 4: Simplify right side
    543,345.12x = 222,797,398,808.62
  5. Step 5: Solve for x
    x = 222,797,398,808.62/543,345.12
  6. Step 6: Final answer
    x = 410,047.67

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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.