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Finding the Fourth Proportional to 421,689.88, 582,286.62 and 301,200.76

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Solution

The fourth proportional to 421,689.88, 582,286.62 and 301,200.76 is: 415,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,689.88 : 582,286.62 = 301,200.76 : x
  2. Step 2: Convert to fraction form
    421,689.88/582,286.62 = 301,200.76/x
  3. Step 3: Cross multiply
    421,689.88x = 582,286.62 × 301,200.76
  4. Step 4: Simplify right side
    421,689.88x = 175,385,172,481.83
  5. Step 5: Solve for x
    x = 175,385,172,481.83/421,689.88
  6. Step 6: Final answer
    x = 415,910.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.