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Finding the Fourth Proportional to 219,077.40, 328,616.10 and 149,093.40

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Solution

The fourth proportional to 219,077.40, 328,616.10 and 149,093.40 is: 223,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,077.40 : 328,616.10 = 149,093.40 : x
  2. Step 2: Convert to fraction form
    219,077.40/328,616.10 = 149,093.40/x
  3. Step 3: Cross multiply
    219,077.40x = 328,616.10 × 149,093.40
  4. Step 4: Simplify right side
    219,077.40x = 48,994,491,643.74
  5. Step 5: Solve for x
    x = 48,994,491,643.74/219,077.40
  6. Step 6: Final answer
    x = 223,640.10

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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.