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Finding the Fourth Proportional to 656,857, 985,428.42 and 201,448.48

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Solution

The fourth proportional to 656,857, 985,428.42 and 201,448.48 is: 302,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,857 : 985,428.42 = 201,448.48 : x
  2. Step 2: Convert to fraction form
    656,857/985,428.42 = 201,448.48/x
  3. Step 3: Cross multiply
    656,857x = 985,428.42 × 201,448.48
  4. Step 4: Simplify right side
    656,857x = 198,513,057,357.80
  5. Step 5: Solve for x
    x = 198,513,057,357.80/656,857
  6. Step 6: Final answer
    x = 302,216.55

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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.