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Finding the Fourth Proportional to 386,244.60, 580,922.10 and 345,809.40

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Solution

The fourth proportional to 386,244.60, 580,922.10 and 345,809.40 is: 520,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,244.60 : 580,922.10 = 345,809.40 : x
  2. Step 2: Convert to fraction form
    386,244.60/580,922.10 = 345,809.40/x
  3. Step 3: Cross multiply
    386,244.60x = 580,922.10 × 345,809.40
  4. Step 4: Simplify right side
    386,244.60x = 200,888,322,847.74
  5. Step 5: Solve for x
    x = 200,888,322,847.74/386,244.60
  6. Step 6: Final answer
    x = 520,106.49

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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.