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Finding the Fourth Proportional to 408,026.20, 611,441.70 and 365,906.20

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Solution

The fourth proportional to 408,026.20, 611,441.70 and 365,906.20 is: 548,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,026.20 : 611,441.70 = 365,906.20 : x
  2. Step 2: Convert to fraction form
    408,026.20/611,441.70 = 365,906.20/x
  3. Step 3: Cross multiply
    408,026.20x = 611,441.70 × 365,906.20
  4. Step 4: Simplify right side
    408,026.20x = 223,730,308,968.54
  5. Step 5: Solve for x
    x = 223,730,308,968.54/408,026.20
  6. Step 6: Final answer
    x = 548,323.39

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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.