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Finding the Fourth Proportional to 219,418, 329,128.08 and 53,206

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Solution

The fourth proportional to 219,418, 329,128.08 and 53,206 is: 79,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,418 : 329,128.08 = 53,206 : x
  2. Step 2: Convert to fraction form
    219,418/329,128.08 = 53,206/x
  3. Step 3: Cross multiply
    219,418x = 329,128.08 × 53,206
  4. Step 4: Simplify right side
    219,418x = 17,511,588,624.48
  5. Step 5: Solve for x
    x = 17,511,588,624.48/219,418
  6. Step 6: Final answer
    x = 79,809.26

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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.