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Finding the Fourth Proportional to 547,231.40, 820,847.10 and 192,208.40

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Solution

The fourth proportional to 547,231.40, 820,847.10 and 192,208.40 is: 288,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,231.40 : 820,847.10 = 192,208.40 : x
  2. Step 2: Convert to fraction form
    547,231.40/820,847.10 = 192,208.40/x
  3. Step 3: Cross multiply
    547,231.40x = 820,847.10 × 192,208.40
  4. Step 4: Simplify right side
    547,231.40x = 157,773,707,735.64
  5. Step 5: Solve for x
    x = 157,773,707,735.64/547,231.40
  6. Step 6: Final answer
    x = 288,312.60

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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.