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Finding the Fourth Proportional to 304,087.78, 419,623.07 and 168,113.59

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Solution

The fourth proportional to 304,087.78, 419,623.07 and 168,113.59 is: 231,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,087.78 : 419,623.07 = 168,113.59 : x
  2. Step 2: Convert to fraction form
    304,087.78/419,623.07 = 168,113.59/x
  3. Step 3: Cross multiply
    304,087.78x = 419,623.07 × 168,113.59
  4. Step 4: Simplify right side
    304,087.78x = 70,544,341,373.30
  5. Step 5: Solve for x
    x = 70,544,341,373.30/304,087.78
  6. Step 6: Final answer
    x = 231,986.77

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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.