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Finding the Fourth Proportional to 547,612.80, 755,702.42 and 305,894.64

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Solution

The fourth proportional to 547,612.80, 755,702.42 and 305,894.64 is: 422,132.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,612.80 : 755,702.42 = 305,894.64 : x
  2. Step 2: Convert to fraction form
    547,612.80/755,702.42 = 305,894.64/x
  3. Step 3: Cross multiply
    547,612.80x = 755,702.42 × 305,894.64
  4. Step 4: Simplify right side
    547,612.80x = 231,165,319,713.03
  5. Step 5: Solve for x
    x = 231,165,319,713.03/547,612.80
  6. Step 6: Final answer
    x = 422,132.79

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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.