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Finding the Fourth Proportional to 280,940.64, 421,399.72 and 154,830.88

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Solution

The fourth proportional to 280,940.64, 421,399.72 and 154,830.88 is: 232,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,940.64 : 421,399.72 = 154,830.88 : x
  2. Step 2: Convert to fraction form
    280,940.64/421,399.72 = 154,830.88/x
  3. Step 3: Cross multiply
    280,940.64x = 421,399.72 × 154,830.88
  4. Step 4: Simplify right side
    280,940.64x = 65,245,689,479.35
  5. Step 5: Solve for x
    x = 65,245,689,479.35/280,940.64
  6. Step 6: Final answer
    x = 232,240.13

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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.