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Finding the Fourth Proportional to 647,358, 971,037 and 204,126

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Solution

The fourth proportional to 647,358, 971,037 and 204,126 is: 306,189

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,358 : 971,037 = 204,126 : x
  2. Step 2: Convert to fraction form
    647,358/971,037 = 204,126/x
  3. Step 3: Cross multiply
    647,358x = 971,037 × 204,126
  4. Step 4: Simplify right side
    647,358x = 198,213,898,662
  5. Step 5: Solve for x
    x = 198,213,898,662/647,358
  6. Step 6: Final answer
    x = 306,189

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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.