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Finding the Fourth Proportional to 547,810.60, 820,103.10 and 408,188.20

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Solution

The fourth proportional to 547,810.60, 820,103.10 and 408,188.20 is: 611,080.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,810.60 : 820,103.10 = 408,188.20 : x
  2. Step 2: Convert to fraction form
    547,810.60/820,103.10 = 408,188.20/x
  3. Step 3: Cross multiply
    547,810.60x = 820,103.10 × 408,188.20
  4. Step 4: Simplify right side
    547,810.60x = 334,756,408,203.42
  5. Step 5: Solve for x
    x = 334,756,408,203.42/547,810.60
  6. Step 6: Final answer
    x = 611,080.56

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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.