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Finding the Fourth Proportional to 219,822, 329,732.49 and 144,396.63

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Solution

The fourth proportional to 219,822, 329,732.49 and 144,396.63 is: 216,594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,822 : 329,732.49 = 144,396.63 : x
  2. Step 2: Convert to fraction form
    219,822/329,732.49 = 144,396.63/x
  3. Step 3: Cross multiply
    219,822x = 329,732.49 × 144,396.63
  4. Step 4: Simplify right side
    219,822x = 47,612,260,357.51
  5. Step 5: Solve for x
    x = 47,612,260,357.51/219,822
  6. Step 6: Final answer
    x = 216,594.61

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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.