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Finding the Fourth Proportional to 413,206.28, 620,141.52 and 213,585.14

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Solution

The fourth proportional to 413,206.28, 620,141.52 and 213,585.14 is: 320,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,206.28 : 620,141.52 = 213,585.14 : x
  2. Step 2: Convert to fraction form
    413,206.28/620,141.52 = 213,585.14/x
  3. Step 3: Cross multiply
    413,206.28x = 620,141.52 × 213,585.14
  4. Step 4: Simplify right side
    413,206.28x = 132,453,013,369.01
  5. Step 5: Solve for x
    x = 132,453,013,369.01/413,206.28
  6. Step 6: Final answer
    x = 320,549.37

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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.