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Finding the Fourth Proportional to 405,727.89, 559,894.37 and 224,449.89

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Solution

The fourth proportional to 405,727.89, 559,894.37 and 224,449.89 is: 309,735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,727.89 : 559,894.37 = 224,449.89 : x
  2. Step 2: Convert to fraction form
    405,727.89/559,894.37 = 224,449.89/x
  3. Step 3: Cross multiply
    405,727.89x = 559,894.37 × 224,449.89
  4. Step 4: Simplify right side
    405,727.89x = 125,668,229,758.12
  5. Step 5: Solve for x
    x = 125,668,229,758.12/405,727.89
  6. Step 6: Final answer
    x = 309,735.25

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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.