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Finding the Fourth Proportional to 393,213.84, 542,428.20 and 265,932.24

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Solution

The fourth proportional to 393,213.84, 542,428.20 and 265,932.24 is: 366,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,213.84 : 542,428.20 = 265,932.24 : x
  2. Step 2: Convert to fraction form
    393,213.84/542,428.20 = 265,932.24/x
  3. Step 3: Cross multiply
    393,213.84x = 542,428.20 × 265,932.24
  4. Step 4: Simplify right side
    393,213.84x = 144,249,146,265.17
  5. Step 5: Solve for x
    x = 144,249,146,265.17/393,213.84
  6. Step 6: Final answer
    x = 366,846.56

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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.