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Finding the Fourth Proportional to 547,304.38, 821,000.31 and 192,398.02

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Solution

The fourth proportional to 547,304.38, 821,000.31 and 192,398.02 is: 288,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,304.38 : 821,000.31 = 192,398.02 : x
  2. Step 2: Convert to fraction form
    547,304.38/821,000.31 = 192,398.02/x
  3. Step 3: Cross multiply
    547,304.38x = 821,000.31 × 192,398.02
  4. Step 4: Simplify right side
    547,304.38x = 157,958,831,289.39
  5. Step 5: Solve for x
    x = 157,958,831,289.39/547,304.38
  6. Step 6: Final answer
    x = 288,612.40

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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.