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Finding the Fourth Proportional to 279,213.66, 419,062.32 and 146,187

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Solution

The fourth proportional to 279,213.66, 419,062.32 and 146,187 is: 219,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,213.66 : 419,062.32 = 146,187 : x
  2. Step 2: Convert to fraction form
    279,213.66/419,062.32 = 146,187/x
  3. Step 3: Cross multiply
    279,213.66x = 419,062.32 × 146,187
  4. Step 4: Simplify right side
    279,213.66x = 61,261,463,373.84
  5. Step 5: Solve for x
    x = 61,261,463,373.84/279,213.66
  6. Step 6: Final answer
    x = 219,407.11

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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.