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Finding the Fourth Proportional to 547,200.86, 820,927.65 and 173,223.86

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Solution

The fourth proportional to 547,200.86, 820,927.65 and 173,223.86 is: 259,875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,200.86 : 820,927.65 = 173,223.86 : x
  2. Step 2: Convert to fraction form
    547,200.86/820,927.65 = 173,223.86/x
  3. Step 3: Cross multiply
    547,200.86x = 820,927.65 × 173,223.86
  4. Step 4: Simplify right side
    547,200.86x = 142,204,256,313.73
  5. Step 5: Solve for x
    x = 142,204,256,313.73/547,200.86
  6. Step 6: Final answer
    x = 259,875.79

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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.