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Finding the Fourth Proportional to 304,418.62, 420,142.26 and 175,332.28

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Solution

The fourth proportional to 304,418.62, 420,142.26 and 175,332.28 is: 241,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,418.62 : 420,142.26 = 175,332.28 : x
  2. Step 2: Convert to fraction form
    304,418.62/420,142.26 = 175,332.28/x
  3. Step 3: Cross multiply
    304,418.62x = 420,142.26 × 175,332.28
  4. Step 4: Simplify right side
    304,418.62x = 73,664,497,392.78
  5. Step 5: Solve for x
    x = 73,664,497,392.78/304,418.62
  6. Step 6: Final answer
    x = 241,984.21

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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.