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Finding the Fourth Proportional to 640,419.09, 960,594 and 324,867.80

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Solution

The fourth proportional to 640,419.09, 960,594 and 324,867.80 is: 487,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,419.09 : 960,594 = 324,867.80 : x
  2. Step 2: Convert to fraction form
    640,419.09/960,594 = 324,867.80/x
  3. Step 3: Cross multiply
    640,419.09x = 960,594 × 324,867.80
  4. Step 4: Simplify right side
    640,419.09x = 312,066,059,473.20
  5. Step 5: Solve for x
    x = 312,066,059,473.20/640,419.09
  6. Step 6: Final answer
    x = 487,284.13

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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.