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Finding the Fourth Proportional to 280,539.90, 421,846.65 and 234,920.70

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Solution

The fourth proportional to 280,539.90, 421,846.65 and 234,920.70 is: 353,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,539.90 : 421,846.65 = 234,920.70 : x
  2. Step 2: Convert to fraction form
    280,539.90/421,846.65 = 234,920.70/x
  3. Step 3: Cross multiply
    280,539.90x = 421,846.65 × 234,920.70
  4. Step 4: Simplify right side
    280,539.90x = 99,100,510,310.66
  5. Step 5: Solve for x
    x = 99,100,510,310.66/280,539.90
  6. Step 6: Final answer
    x = 353,249.25

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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.