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Finding the Fourth Proportional to 457,469.22, 686,439.12 and 217,854.84

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Solution

The fourth proportional to 457,469.22, 686,439.12 and 217,854.84 is: 326,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,469.22 : 686,439.12 = 217,854.84 : x
  2. Step 2: Convert to fraction form
    457,469.22/686,439.12 = 217,854.84/x
  3. Step 3: Cross multiply
    457,469.22x = 686,439.12 × 217,854.84
  4. Step 4: Simplify right side
    457,469.22x = 149,544,084,657.34
  5. Step 5: Solve for x
    x = 149,544,084,657.34/457,469.22
  6. Step 6: Final answer
    x = 326,894.31

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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.