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Finding the Fourth Proportional to 405,227.40, 559,213.30 and 226,379.40

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Solution

The fourth proportional to 405,227.40, 559,213.30 and 226,379.40 is: 312,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,227.40 : 559,213.30 = 226,379.40 : x
  2. Step 2: Convert to fraction form
    405,227.40/559,213.30 = 226,379.40/x
  3. Step 3: Cross multiply
    405,227.40x = 559,213.30 × 226,379.40
  4. Step 4: Simplify right side
    405,227.40x = 126,594,371,326.02
  5. Step 5: Solve for x
    x = 126,594,371,326.02/405,227.40
  6. Step 6: Final answer
    x = 312,403.29

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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.