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Finding the Fourth Proportional to 405,764, 559,956.24 and 226,916

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Solution

The fourth proportional to 405,764, 559,956.24 and 226,916 is: 313,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,764 : 559,956.24 = 226,916 : x
  2. Step 2: Convert to fraction form
    405,764/559,956.24 = 226,916/x
  3. Step 3: Cross multiply
    405,764x = 559,956.24 × 226,916
  4. Step 4: Simplify right side
    405,764x = 127,063,030,155.84
  5. Step 5: Solve for x
    x = 127,063,030,155.84/405,764
  6. Step 6: Final answer
    x = 313,145.15

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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.