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Finding the Fourth Proportional to 640,272.80, 961,011.84 and 324,956

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Solution

The fourth proportional to 640,272.80, 961,011.84 and 324,956 is: 487,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,272.80 : 961,011.84 = 324,956 : x
  2. Step 2: Convert to fraction form
    640,272.80/961,011.84 = 324,956/x
  3. Step 3: Cross multiply
    640,272.80x = 961,011.84 × 324,956
  4. Step 4: Simplify right side
    640,272.80x = 312,286,563,479.04
  5. Step 5: Solve for x
    x = 312,286,563,479.04/640,272.80
  6. Step 6: Final answer
    x = 487,739.86

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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.