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Finding the Fourth Proportional to 647,658.84, 971,553.04 and 198,374.52

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Solution

The fourth proportional to 647,658.84, 971,553.04 and 198,374.52 is: 297,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,658.84 : 971,553.04 = 198,374.52 : x
  2. Step 2: Convert to fraction form
    647,658.84/971,553.04 = 198,374.52/x
  3. Step 3: Cross multiply
    647,658.84x = 971,553.04 × 198,374.52
  4. Step 4: Simplify right side
    647,658.84x = 192,731,367,964.54
  5. Step 5: Solve for x
    x = 192,731,367,964.54/647,658.84
  6. Step 6: Final answer
    x = 297,581.62

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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.