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Finding the Fourth Proportional to 1,166,838, 1,750,257 and 280,374

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Solution

The fourth proportional to 1,166,838, 1,750,257 and 280,374 is: 420,561

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,838 : 1,750,257 = 280,374 : x
  2. Step 2: Convert to fraction form
    1,166,838/1,750,257 = 280,374/x
  3. Step 3: Cross multiply
    1,166,838x = 1,750,257 × 280,374
  4. Step 4: Simplify right side
    1,166,838x = 490,726,556,118
  5. Step 5: Solve for x
    x = 490,726,556,118/1,166,838
  6. Step 6: Final answer
    x = 420,561

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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.