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Finding the Fourth Proportional to 392,404.42, 541,501.77 and 222,647.86

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Solution

The fourth proportional to 392,404.42, 541,501.77 and 222,647.86 is: 307,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,404.42 : 541,501.77 = 222,647.86 : x
  2. Step 2: Convert to fraction form
    392,404.42/541,501.77 = 222,647.86/x
  3. Step 3: Cross multiply
    392,404.42x = 541,501.77 × 222,647.86
  4. Step 4: Simplify right side
    392,404.42x = 120,564,210,276.71
  5. Step 5: Solve for x
    x = 120,564,210,276.71/392,404.42
  6. Step 6: Final answer
    x = 307,244.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.