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Finding the Fourth Proportional to 645,630, 968,600.64 and 202,398

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Solution

The fourth proportional to 645,630, 968,600.64 and 202,398 is: 303,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,630 : 968,600.64 = 202,398 : x
  2. Step 2: Convert to fraction form
    645,630/968,600.64 = 202,398/x
  3. Step 3: Cross multiply
    645,630x = 968,600.64 × 202,398
  4. Step 4: Simplify right side
    645,630x = 196,042,832,334.72
  5. Step 5: Solve for x
    x = 196,042,832,334.72/645,630
  6. Step 6: Final answer
    x = 303,645.79

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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.