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Finding the Fourth Proportional to 392,768.75, 542,024.52 and 223,006.52

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Solution

The fourth proportional to 392,768.75, 542,024.52 and 223,006.52 is: 307,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,768.75 : 542,024.52 = 223,006.52 : x
  2. Step 2: Convert to fraction form
    392,768.75/542,024.52 = 223,006.52/x
  3. Step 3: Cross multiply
    392,768.75x = 542,024.52 × 223,006.52
  4. Step 4: Simplify right side
    392,768.75x = 120,875,001,959.87
  5. Step 5: Solve for x
    x = 120,875,001,959.87/392,768.75
  6. Step 6: Final answer
    x = 307,751.07

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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.