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Finding the Fourth Proportional to 405,680.56, 559,828.64 and 224,388

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Solution

The fourth proportional to 405,680.56, 559,828.64 and 224,388 is: 309,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,680.56 : 559,828.64 = 224,388 : x
  2. Step 2: Convert to fraction form
    405,680.56/559,828.64 = 224,388/x
  3. Step 3: Cross multiply
    405,680.56x = 559,828.64 × 224,388
  4. Step 4: Simplify right side
    405,680.56x = 125,618,828,872.32
  5. Step 5: Solve for x
    x = 125,618,828,872.32/405,680.56
  6. Step 6: Final answer
    x = 309,649.61

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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.