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Finding the Fourth Proportional to 578,255.82, 798,087.80 and 396,818.65

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Solution

The fourth proportional to 578,255.82, 798,087.80 and 396,818.65 is: 547,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,255.82 : 798,087.80 = 396,818.65 : x
  2. Step 2: Convert to fraction form
    578,255.82/798,087.80 = 396,818.65/x
  3. Step 3: Cross multiply
    578,255.82x = 798,087.80 × 396,818.65
  4. Step 4: Simplify right side
    578,255.82x = 316,696,125,367.13
  5. Step 5: Solve for x
    x = 316,696,125,367.13/578,255.82
  6. Step 6: Final answer
    x = 547,674.78

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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.