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Finding the Fourth Proportional to 280,138.80, 420,234.28 and 111,618.48

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Solution

The fourth proportional to 280,138.80, 420,234.28 and 111,618.48 is: 167,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,138.80 : 420,234.28 = 111,618.48 : x
  2. Step 2: Convert to fraction form
    280,138.80/420,234.28 = 111,618.48/x
  3. Step 3: Cross multiply
    280,138.80x = 420,234.28 × 111,618.48
  4. Step 4: Simplify right side
    280,138.80x = 46,905,911,577.49
  5. Step 5: Solve for x
    x = 46,905,911,577.49/280,138.80
  6. Step 6: Final answer
    x = 167,438.11

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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.