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Finding the Fourth Proportional to 309,604.40, 463,969.20 and 216,000.80

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Solution

The fourth proportional to 309,604.40, 463,969.20 and 216,000.80 is: 323,696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,604.40 : 463,969.20 = 216,000.80 : x
  2. Step 2: Convert to fraction form
    309,604.40/463,969.20 = 216,000.80/x
  3. Step 3: Cross multiply
    309,604.40x = 463,969.20 × 216,000.80
  4. Step 4: Simplify right side
    309,604.40x = 100,217,718,375.36
  5. Step 5: Solve for x
    x = 100,217,718,375.36/309,604.40
  6. Step 6: Final answer
    x = 323,696.04

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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.