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Finding the Fourth Proportional to 645,986, 968,987.64 and 202,754

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Solution

The fourth proportional to 645,986, 968,987.64 and 202,754 is: 304,133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,986 : 968,987.64 = 202,754 : x
  2. Step 2: Convert to fraction form
    645,986/968,987.64 = 202,754/x
  3. Step 3: Cross multiply
    645,986x = 968,987.64 × 202,754
  4. Step 4: Simplify right side
    645,986x = 196,466,119,960.56
  5. Step 5: Solve for x
    x = 196,466,119,960.56/645,986
  6. Step 6: Final answer
    x = 304,133.71

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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.