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Finding the Fourth Proportional to 392,767.75, 542,023.14 and 223,005.52

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Solution

The fourth proportional to 392,767.75, 542,023.14 and 223,005.52 is: 307,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,767.75 : 542,023.14 = 223,005.52 : x
  2. Step 2: Convert to fraction form
    392,767.75/542,023.14 = 223,005.52/x
  3. Step 3: Cross multiply
    392,767.75x = 542,023.14 × 223,005.52
  4. Step 4: Simplify right side
    392,767.75x = 120,874,152,187.73
  5. Step 5: Solve for x
    x = 120,874,152,187.73/392,767.75
  6. Step 6: Final answer
    x = 307,749.69

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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.