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Finding the Fourth Proportional to 393,213.66, 542,463.75 and 249,896.94

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Solution

The fourth proportional to 393,213.66, 542,463.75 and 249,896.94 is: 344,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,213.66 : 542,463.75 = 249,896.94 : x
  2. Step 2: Convert to fraction form
    393,213.66/542,463.75 = 249,896.94/x
  3. Step 3: Cross multiply
    393,213.66x = 542,463.75 × 249,896.94
  4. Step 4: Simplify right side
    393,213.66x = 135,560,031,185.93
  5. Step 5: Solve for x
    x = 135,560,031,185.93/393,213.66
  6. Step 6: Final answer
    x = 344,749.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.