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Finding the Fourth Proportional to 213,979.60, 321,660.60 and 152,078.80

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Solution

The fourth proportional to 213,979.60, 321,660.60 and 152,078.80 is: 228,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,979.60 : 321,660.60 = 152,078.80 : x
  2. Step 2: Convert to fraction form
    213,979.60/321,660.60 = 152,078.80/x
  3. Step 3: Cross multiply
    213,979.60x = 321,660.60 × 152,078.80
  4. Step 4: Simplify right side
    213,979.60x = 48,917,758,055.28
  5. Step 5: Solve for x
    x = 48,917,758,055.28/213,979.60
  6. Step 6: Final answer
    x = 228,609.45

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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.