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Finding the Fourth Proportional to 548,245.47, 821,518.50 and 380,092.71

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Solution

The fourth proportional to 548,245.47, 821,518.50 and 380,092.71 is: 569,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,245.47 : 821,518.50 = 380,092.71 : x
  2. Step 2: Convert to fraction form
    548,245.47/821,518.50 = 380,092.71/x
  3. Step 3: Cross multiply
    548,245.47x = 821,518.50 × 380,092.71
  4. Step 4: Simplify right side
    548,245.47x = 312,253,192,980.14
  5. Step 5: Solve for x
    x = 312,253,192,980.14/548,245.47
  6. Step 6: Final answer
    x = 569,549.97

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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.