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Finding the Fourth Proportional to 547,812.60, 820,106.10 and 408,190.20

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Solution

The fourth proportional to 547,812.60, 820,106.10 and 408,190.20 is: 611,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,812.60 : 820,106.10 = 408,190.20 : x
  2. Step 2: Convert to fraction form
    547,812.60/820,106.10 = 408,190.20/x
  3. Step 3: Cross multiply
    547,812.60x = 820,106.10 × 408,190.20
  4. Step 4: Simplify right side
    547,812.60x = 334,759,272,980.22
  5. Step 5: Solve for x
    x = 334,759,272,980.22/547,812.60
  6. Step 6: Final answer
    x = 611,083.56

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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.