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Finding the Fourth Proportional to 547,793.20, 821,689.80 and 387,434.80

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Solution

The fourth proportional to 547,793.20, 821,689.80 and 387,434.80 is: 581,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,793.20 : 821,689.80 = 387,434.80 : x
  2. Step 2: Convert to fraction form
    547,793.20/821,689.80 = 387,434.80/x
  3. Step 3: Cross multiply
    547,793.20x = 821,689.80 × 387,434.80
  4. Step 4: Simplify right side
    547,793.20x = 318,351,223,325.04
  5. Step 5: Solve for x
    x = 318,351,223,325.04/547,793.20
  6. Step 6: Final answer
    x = 581,152.20

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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.