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Finding the Fourth Proportional to 219,401.78, 329,102.61 and 53,189.78

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Solution

The fourth proportional to 219,401.78, 329,102.61 and 53,189.78 is: 79,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,401.78 : 329,102.61 = 53,189.78 : x
  2. Step 2: Convert to fraction form
    219,401.78/329,102.61 = 53,189.78/x
  3. Step 3: Cross multiply
    219,401.78x = 329,102.61 × 53,189.78
  4. Step 4: Simplify right side
    219,401.78x = 17,504,895,423.33
  5. Step 5: Solve for x
    x = 17,504,895,423.33/219,401.78
  6. Step 6: Final answer
    x = 79,784.66

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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.