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Finding the Fourth Proportional to 645,988, 968,990.64 and 202,756

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Solution

The fourth proportional to 645,988, 968,990.64 and 202,756 is: 304,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,988 : 968,990.64 = 202,756 : x
  2. Step 2: Convert to fraction form
    645,988/968,990.64 = 202,756/x
  3. Step 3: Cross multiply
    645,988x = 968,990.64 × 202,756
  4. Step 4: Simplify right side
    645,988x = 196,468,666,203.84
  5. Step 5: Solve for x
    x = 196,468,666,203.84/645,988
  6. Step 6: Final answer
    x = 304,136.71

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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.