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Finding the Fourth Proportional to 215,478.40, 323,217.60 and 140,828.80

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Solution

The fourth proportional to 215,478.40, 323,217.60 and 140,828.80 is: 211,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,478.40 : 323,217.60 = 140,828.80 : x
  2. Step 2: Convert to fraction form
    215,478.40/323,217.60 = 140,828.80/x
  3. Step 3: Cross multiply
    215,478.40x = 323,217.60 × 140,828.80
  4. Step 4: Simplify right side
    215,478.40x = 45,518,346,746.88
  5. Step 5: Solve for x
    x = 45,518,346,746.88/215,478.40
  6. Step 6: Final answer
    x = 211,243.20

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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.