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Finding the Fourth Proportional to 405,680.66, 559,801.74 and 224,388.69

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Solution

The fourth proportional to 405,680.66, 559,801.74 and 224,388.69 is: 309,635.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,680.66 : 559,801.74 = 224,388.69 : x
  2. Step 2: Convert to fraction form
    405,680.66/559,801.74 = 224,388.69/x
  3. Step 3: Cross multiply
    405,680.66x = 559,801.74 × 224,388.69
  4. Step 4: Simplify right side
    405,680.66x = 125,613,179,098.32
  5. Step 5: Solve for x
    x = 125,613,179,098.32/405,680.66
  6. Step 6: Final answer
    x = 309,635.61

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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.