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Finding the Fourth Proportional to 389,716.20, 584,574.30 and 326,730.60

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Solution

The fourth proportional to 389,716.20, 584,574.30 and 326,730.60 is: 490,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,716.20 : 584,574.30 = 326,730.60 : x
  2. Step 2: Convert to fraction form
    389,716.20/584,574.30 = 326,730.60/x
  3. Step 3: Cross multiply
    389,716.20x = 584,574.30 × 326,730.60
  4. Step 4: Simplify right side
    389,716.20x = 190,998,311,783.58
  5. Step 5: Solve for x
    x = 190,998,311,783.58/389,716.20
  6. Step 6: Final answer
    x = 490,095.90

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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.