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Finding the Fourth Proportional to 219,902.20, 329,853.30 and 192,783.40

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Solution

The fourth proportional to 219,902.20, 329,853.30 and 192,783.40 is: 289,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,902.20 : 329,853.30 = 192,783.40 : x
  2. Step 2: Convert to fraction form
    219,902.20/329,853.30 = 192,783.40/x
  3. Step 3: Cross multiply
    219,902.20x = 329,853.30 × 192,783.40
  4. Step 4: Simplify right side
    219,902.20x = 63,590,240,675.22
  5. Step 5: Solve for x
    x = 63,590,240,675.22/219,902.20
  6. Step 6: Final answer
    x = 289,175.10

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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.