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Finding the Fourth Proportional to 647,356, 971,034 and 204,124

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Solution

The fourth proportional to 647,356, 971,034 and 204,124 is: 306,186

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,356 : 971,034 = 204,124 : x
  2. Step 2: Convert to fraction form
    647,356/971,034 = 204,124/x
  3. Step 3: Cross multiply
    647,356x = 971,034 × 204,124
  4. Step 4: Simplify right side
    647,356x = 198,211,344,216
  5. Step 5: Solve for x
    x = 198,211,344,216/647,356
  6. Step 6: Final answer
    x = 306,186

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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.