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Finding the Fourth Proportional to 213,082.80, 320,401.80 and 178,868.40

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Solution

The fourth proportional to 213,082.80, 320,401.80 and 178,868.40 is: 268,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,082.80 : 320,401.80 = 178,868.40 : x
  2. Step 2: Convert to fraction form
    213,082.80/320,401.80 = 178,868.40/x
  3. Step 3: Cross multiply
    213,082.80x = 320,401.80 × 178,868.40
  4. Step 4: Simplify right side
    213,082.80x = 57,309,757,323.12
  5. Step 5: Solve for x
    x = 57,309,757,323.12/213,082.80
  6. Step 6: Final answer
    x = 268,955.34

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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.