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Finding the Fourth Proportional to 213,980.60, 321,662.10 and 152,079.80

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Solution

The fourth proportional to 213,980.60, 321,662.10 and 152,079.80 is: 228,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,980.60 : 321,662.10 = 152,079.80 : x
  2. Step 2: Convert to fraction form
    213,980.60/321,662.10 = 152,079.80/x
  3. Step 3: Cross multiply
    213,980.60x = 321,662.10 × 152,079.80
  4. Step 4: Simplify right side
    213,980.60x = 48,918,307,835.58
  5. Step 5: Solve for x
    x = 48,918,307,835.58/213,980.60
  6. Step 6: Final answer
    x = 228,610.95

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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.