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Finding the Fourth Proportional to 219,872.30, 329,808.45 and 143,764.70

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Solution

The fourth proportional to 219,872.30, 329,808.45 and 143,764.70 is: 215,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,872.30 : 329,808.45 = 143,764.70 : x
  2. Step 2: Convert to fraction form
    219,872.30/329,808.45 = 143,764.70/x
  3. Step 3: Cross multiply
    219,872.30x = 329,808.45 × 143,764.70
  4. Step 4: Simplify right side
    219,872.30x = 47,414,812,871.72
  5. Step 5: Solve for x
    x = 47,414,812,871.72/219,872.30
  6. Step 6: Final answer
    x = 215,647.05

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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.