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Finding the Fourth Proportional to 413,900.40, 571,229.89 and 230,157.29

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Solution

The fourth proportional to 413,900.40, 571,229.89 and 230,157.29 is: 317,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,900.40 : 571,229.89 = 230,157.29 : x
  2. Step 2: Convert to fraction form
    413,900.40/571,229.89 = 230,157.29/x
  3. Step 3: Cross multiply
    413,900.40x = 571,229.89 × 230,157.29
  4. Step 4: Simplify right side
    413,900.40x = 131,472,720,593.25
  5. Step 5: Solve for x
    x = 131,472,720,593.25/413,900.40
  6. Step 6: Final answer
    x = 317,643.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.