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Finding the Fourth Proportional to 280,924.90, 421,376.18 and 154,815.19

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Solution

The fourth proportional to 280,924.90, 421,376.18 and 154,815.19 is: 232,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,924.90 : 421,376.18 = 154,815.19 : x
  2. Step 2: Convert to fraction form
    280,924.90/421,376.18 = 154,815.19/x
  3. Step 3: Cross multiply
    280,924.90x = 421,376.18 × 154,815.19
  4. Step 4: Simplify right side
    280,924.90x = 65,235,431,540.66
  5. Step 5: Solve for x
    x = 65,235,431,540.66/280,924.90
  6. Step 6: Final answer
    x = 232,216.62

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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.