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Finding the Fourth Proportional to 647,470.80, 971,279.10 and 198,188.10

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Solution

The fourth proportional to 647,470.80, 971,279.10 and 198,188.10 is: 297,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,470.80 : 971,279.10 = 198,188.10 : x
  2. Step 2: Convert to fraction form
    647,470.80/971,279.10 = 198,188.10/x
  3. Step 3: Cross multiply
    647,470.80x = 971,279.10 × 198,188.10
  4. Step 4: Simplify right side
    647,470.80x = 192,495,959,398.71
  5. Step 5: Solve for x
    x = 192,495,959,398.71/647,470.80
  6. Step 6: Final answer
    x = 297,304.46

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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.