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Finding the Fourth Proportional to 640,274.80, 961,014.84 and 324,958

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Solution

The fourth proportional to 640,274.80, 961,014.84 and 324,958 is: 487,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,274.80 : 961,014.84 = 324,958 : x
  2. Step 2: Convert to fraction form
    640,274.80/961,014.84 = 324,958/x
  3. Step 3: Cross multiply
    640,274.80x = 961,014.84 × 324,958
  4. Step 4: Simplify right side
    640,274.80x = 312,289,460,376.72
  5. Step 5: Solve for x
    x = 312,289,460,376.72/640,274.80
  6. Step 6: Final answer
    x = 487,742.86

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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.