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Finding the Fourth Proportional to 647,871.90, 971,994.50 and 198,658.94

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Solution

The fourth proportional to 647,871.90, 971,994.50 and 198,658.94 is: 298,045.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,871.90 : 971,994.50 = 198,658.94 : x
  2. Step 2: Convert to fraction form
    647,871.90/971,994.50 = 198,658.94/x
  3. Step 3: Cross multiply
    647,871.90x = 971,994.50 × 198,658.94
  4. Step 4: Simplify right side
    647,871.90x = 193,095,391,202.56
  5. Step 5: Solve for x
    x = 193,095,391,202.56/647,871.90
  6. Step 6: Final answer
    x = 298,045.63

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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.