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Finding the Fourth Proportional to 280,924.61, 421,375.77 and 154,814.90

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Solution

The fourth proportional to 280,924.61, 421,375.77 and 154,814.90 is: 232,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,924.61 : 421,375.77 = 154,814.90 : x
  2. Step 2: Convert to fraction form
    280,924.61/421,375.77 = 154,814.90/x
  3. Step 3: Cross multiply
    280,924.61x = 421,375.77 × 154,814.90
  4. Step 4: Simplify right side
    280,924.61x = 65,235,245,588.09
  5. Step 5: Solve for x
    x = 65,235,245,588.09/280,924.61
  6. Step 6: Final answer
    x = 232,216.20

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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.