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Finding the Fourth Proportional to 645,934, 969,057.60 and 202,702

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Solution

The fourth proportional to 645,934, 969,057.60 and 202,702 is: 304,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,934 : 969,057.60 = 202,702 : x
  2. Step 2: Convert to fraction form
    645,934/969,057.60 = 202,702/x
  3. Step 3: Cross multiply
    645,934x = 969,057.60 × 202,702
  4. Step 4: Simplify right side
    645,934x = 196,429,913,635.20
  5. Step 5: Solve for x
    x = 196,429,913,635.20/645,934
  6. Step 6: Final answer
    x = 304,102.14

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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.