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Finding the Fourth Proportional to 213,074.40, 320,086.80 and 178,082.40

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Solution

The fourth proportional to 213,074.40, 320,086.80 and 178,082.40 is: 267,520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,074.40 : 320,086.80 = 178,082.40 : x
  2. Step 2: Convert to fraction form
    213,074.40/320,086.80 = 178,082.40/x
  3. Step 3: Cross multiply
    213,074.40x = 320,086.80 × 178,082.40
  4. Step 4: Simplify right side
    213,074.40x = 57,001,825,552.32
  5. Step 5: Solve for x
    x = 57,001,825,552.32/213,074.40
  6. Step 6: Final answer
    x = 267,520.76

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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.