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Finding the Fourth Proportional to 321,904.60, 482,856.90 and 85,271.20

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Solution

The fourth proportional to 321,904.60, 482,856.90 and 85,271.20 is: 127,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,904.60 : 482,856.90 = 85,271.20 : x
  2. Step 2: Convert to fraction form
    321,904.60/482,856.90 = 85,271.20/x
  3. Step 3: Cross multiply
    321,904.60x = 482,856.90 × 85,271.20
  4. Step 4: Simplify right side
    321,904.60x = 41,173,787,291.28
  5. Step 5: Solve for x
    x = 41,173,787,291.28/321,904.60
  6. Step 6: Final answer
    x = 127,906.80

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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.