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Finding the Fourth Proportional to 318,102.96, 438,939.54 and 197,200.11

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Solution

The fourth proportional to 318,102.96, 438,939.54 and 197,200.11 is: 272,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,102.96 : 438,939.54 = 197,200.11 : x
  2. Step 2: Convert to fraction form
    318,102.96/438,939.54 = 197,200.11/x
  3. Step 3: Cross multiply
    318,102.96x = 438,939.54 × 197,200.11
  4. Step 4: Simplify right side
    318,102.96x = 86,558,925,571.35
  5. Step 5: Solve for x
    x = 86,558,925,571.35/318,102.96
  6. Step 6: Final answer
    x = 272,109.78

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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.