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Finding the Fourth Proportional to 361,874.40, 542,811.60 and 321,784.80

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Solution

The fourth proportional to 361,874.40, 542,811.60 and 321,784.80 is: 482,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,874.40 : 542,811.60 = 321,784.80 : x
  2. Step 2: Convert to fraction form
    361,874.40/542,811.60 = 321,784.80/x
  3. Step 3: Cross multiply
    361,874.40x = 542,811.60 × 321,784.80
  4. Step 4: Simplify right side
    361,874.40x = 174,668,522,143.68
  5. Step 5: Solve for x
    x = 174,668,522,143.68/361,874.40
  6. Step 6: Final answer
    x = 482,677.20

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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.