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Finding the Fourth Proportional to 405,142.75, 559,097.13 and 226,294.75

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Solution

The fourth proportional to 405,142.75, 559,097.13 and 226,294.75 is: 312,286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,142.75 : 559,097.13 = 226,294.75 : x
  2. Step 2: Convert to fraction form
    405,142.75/559,097.13 = 226,294.75/x
  3. Step 3: Cross multiply
    405,142.75x = 559,097.13 × 226,294.75
  4. Step 4: Simplify right side
    405,142.75x = 126,520,745,259.07
  5. Step 5: Solve for x
    x = 126,520,745,259.07/405,142.75
  6. Step 6: Final answer
    x = 312,286.83

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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.