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Finding the Fourth Proportional to 304,191.72, 419,787.36 and 168,218.64

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Solution

The fourth proportional to 304,191.72, 419,787.36 and 168,218.64 is: 232,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,191.72 : 419,787.36 = 168,218.64 : x
  2. Step 2: Convert to fraction form
    304,191.72/419,787.36 = 168,218.64/x
  3. Step 3: Cross multiply
    304,191.72x = 419,787.36 × 168,218.64
  4. Step 4: Simplify right side
    304,191.72x = 70,616,058,788.39
  5. Step 5: Solve for x
    x = 70,616,058,788.39/304,191.72
  6. Step 6: Final answer
    x = 232,143.26

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1.5x scale

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.