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Finding the Fourth Proportional to 547,702.56, 820,838.11 and 396,409.05

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Solution

The fourth proportional to 547,702.56, 820,838.11 and 396,409.05 is: 594,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,702.56 : 820,838.11 = 396,409.05 : x
  2. Step 2: Convert to fraction form
    547,702.56/820,838.11 = 396,409.05/x
  3. Step 3: Cross multiply
    547,702.56x = 820,838.11 × 396,409.05
  4. Step 4: Simplify right side
    547,702.56x = 325,387,655,388.90
  5. Step 5: Solve for x
    x = 325,387,655,388.90/547,702.56
  6. Step 6: Final answer
    x = 594,095.55

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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.