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Finding the Fourth Proportional to 547,067.40, 820,140.30 and 284,411.40

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Solution

The fourth proportional to 547,067.40, 820,140.30 and 284,411.40 is: 426,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,067.40 : 820,140.30 = 284,411.40 : x
  2. Step 2: Convert to fraction form
    547,067.40/820,140.30 = 284,411.40/x
  3. Step 3: Cross multiply
    547,067.40x = 820,140.30 × 284,411.40
  4. Step 4: Simplify right side
    547,067.40x = 233,257,250,919.42
  5. Step 5: Solve for x
    x = 233,257,250,919.42/547,067.40
  6. Step 6: Final answer
    x = 426,377.54

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1.5x scale

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.