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Finding the Fourth Proportional to 219,011.40, 328,517.10 and 149,027.40

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Solution

The fourth proportional to 219,011.40, 328,517.10 and 149,027.40 is: 223,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,011.40 : 328,517.10 = 149,027.40 : x
  2. Step 2: Convert to fraction form
    219,011.40/328,517.10 = 149,027.40/x
  3. Step 3: Cross multiply
    219,011.40x = 328,517.10 × 149,027.40
  4. Step 4: Simplify right side
    219,011.40x = 48,958,049,268.54
  5. Step 5: Solve for x
    x = 48,958,049,268.54/219,011.40
  6. Step 6: Final answer
    x = 223,541.10

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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.