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Finding the Fourth Proportional to 397,190.94, 548,123.86 and 215,902.86

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Solution

The fourth proportional to 397,190.94, 548,123.86 and 215,902.86 is: 297,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,190.94 : 548,123.86 = 215,902.86 : x
  2. Step 2: Convert to fraction form
    397,190.94/548,123.86 = 215,902.86/x
  3. Step 3: Cross multiply
    397,190.94x = 548,123.86 × 215,902.86
  4. Step 4: Simplify right side
    397,190.94x = 118,341,509,408.11
  5. Step 5: Solve for x
    x = 118,341,509,408.11/397,190.94
  6. Step 6: Final answer
    x = 297,946.15

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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.