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Finding the Fourth Proportional to 413,900.89, 571,230.58 and 230,157.78

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Solution

The fourth proportional to 413,900.89, 571,230.58 and 230,157.78 is: 317,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,900.89 : 571,230.58 = 230,157.78 : x
  2. Step 2: Convert to fraction form
    413,900.89/571,230.58 = 230,157.78/x
  3. Step 3: Cross multiply
    413,900.89x = 571,230.58 × 230,157.78
  4. Step 4: Simplify right side
    413,900.89x = 131,473,162,160.91
  5. Step 5: Solve for x
    x = 131,473,162,160.91/413,900.89
  6. Step 6: Final answer
    x = 317,644.07

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1.5x scale

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.