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Finding the Fourth Proportional to 419,406.12, 628,522.76 and 226,864.91

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Solution

The fourth proportional to 419,406.12, 628,522.76 and 226,864.91 is: 339,980.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,406.12 : 628,522.76 = 226,864.91 : x
  2. Step 2: Convert to fraction form
    419,406.12/628,522.76 = 226,864.91/x
  3. Step 3: Cross multiply
    419,406.12x = 628,522.76 × 226,864.91
  4. Step 4: Simplify right side
    419,406.12x = 142,589,755,103.41
  5. Step 5: Solve for x
    x = 142,589,755,103.41/419,406.12
  6. Step 6: Final answer
    x = 339,980.15

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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.