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Finding the Fourth Proportional to 192,211.60, 288,317.40 and 178,214.80

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Solution

The fourth proportional to 192,211.60, 288,317.40 and 178,214.80 is: 267,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,211.60 : 288,317.40 = 178,214.80 : x
  2. Step 2: Convert to fraction form
    192,211.60/288,317.40 = 178,214.80/x
  3. Step 3: Cross multiply
    192,211.60x = 288,317.40 × 178,214.80
  4. Step 4: Simplify right side
    192,211.60x = 51,382,427,777.52
  5. Step 5: Solve for x
    x = 51,382,427,777.52/192,211.60
  6. Step 6: Final answer
    x = 267,322.20

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1.5x scale

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.