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Finding the Fourth Proportional to 397,094.68, 547,994.10 and 215,806.65

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Solution

The fourth proportional to 397,094.68, 547,994.10 and 215,806.65 is: 297,815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,094.68 : 547,994.10 = 215,806.65 : x
  2. Step 2: Convert to fraction form
    397,094.68/547,994.10 = 215,806.65/x
  3. Step 3: Cross multiply
    397,094.68x = 547,994.10 × 215,806.65
  4. Step 4: Simplify right side
    397,094.68x = 118,260,768,200.80
  5. Step 5: Solve for x
    x = 118,260,768,200.80/397,094.68
  6. Step 6: Final answer
    x = 297,815.04

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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.