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Finding the Fourth Proportional to 647,403.28, 971,247.16 and 198,158.78

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Solution

The fourth proportional to 647,403.28, 971,247.16 and 198,158.78 is: 297,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,403.28 : 971,247.16 = 198,158.78 : x
  2. Step 2: Convert to fraction form
    647,403.28/971,247.16 = 198,158.78/x
  3. Step 3: Cross multiply
    647,403.28x = 971,247.16 × 198,158.78
  4. Step 4: Simplify right side
    647,403.28x = 192,461,152,304.07
  5. Step 5: Solve for x
    x = 192,461,152,304.07/647,403.28
  6. Step 6: Final answer
    x = 297,281.71

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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.