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Finding the Fourth Proportional to 647,796.48, 971,833.95 and 198,548.34

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Solution

The fourth proportional to 647,796.48, 971,833.95 and 198,548.34 is: 297,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,796.48 : 971,833.95 = 198,548.34 : x
  2. Step 2: Convert to fraction form
    647,796.48/971,833.95 = 198,548.34/x
  3. Step 3: Cross multiply
    647,796.48x = 971,833.95 × 198,548.34
  4. Step 4: Simplify right side
    647,796.48x = 192,956,017,528.14
  5. Step 5: Solve for x
    x = 192,956,017,528.14/647,796.48
  6. Step 6: Final answer
    x = 297,865.18

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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.