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Finding the Fourth Proportional to 405,755.46, 559,959 and 224,464.26

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Solution

The fourth proportional to 405,755.46, 559,959 and 224,464.26 is: 309,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,755.46 : 559,959 = 224,464.26 : x
  2. Step 2: Convert to fraction form
    405,755.46/559,959 = 224,464.26/x
  3. Step 3: Cross multiply
    405,755.46x = 559,959 × 224,464.26
  4. Step 4: Simplify right side
    405,755.46x = 125,690,782,565.34
  5. Step 5: Solve for x
    x = 125,690,782,565.34/405,755.46
  6. Step 6: Final answer
    x = 309,769.79

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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.