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Finding the Fourth Proportional to 547,703.06, 820,838.86 and 396,409.55

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Solution

The fourth proportional to 547,703.06, 820,838.86 and 396,409.55 is: 594,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,703.06 : 820,838.86 = 396,409.55 : x
  2. Step 2: Convert to fraction form
    547,703.06/820,838.86 = 396,409.55/x
  3. Step 3: Cross multiply
    547,703.06x = 820,838.86 × 396,409.55
  4. Step 4: Simplify right side
    547,703.06x = 325,388,363,115.11
  5. Step 5: Solve for x
    x = 325,388,363,115.11/547,703.06
  6. Step 6: Final answer
    x = 594,096.30

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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.