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Finding the Fourth Proportional to 647,353.79, 971,049.13 and 198,064.71

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Solution

The fourth proportional to 647,353.79, 971,049.13 and 198,064.71 is: 297,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,353.79 : 971,049.13 = 198,064.71 : x
  2. Step 2: Convert to fraction form
    647,353.79/971,049.13 = 198,064.71/x
  3. Step 3: Cross multiply
    647,353.79x = 971,049.13 × 198,064.71
  4. Step 4: Simplify right side
    647,353.79x = 192,330,563,834.04
  5. Step 5: Solve for x
    x = 192,330,563,834.04/647,353.79
  6. Step 6: Final answer
    x = 297,102.71

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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.