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Finding the Fourth Proportional to 405,889.92, 560,128.80 and 224,609.52

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Solution

The fourth proportional to 405,889.92, 560,128.80 and 224,609.52 is: 309,961.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,889.92 : 560,128.80 = 224,609.52 : x
  2. Step 2: Convert to fraction form
    405,889.92/560,128.80 = 224,609.52/x
  3. Step 3: Cross multiply
    405,889.92x = 560,128.80 × 224,609.52
  4. Step 4: Simplify right side
    405,889.92x = 125,810,260,906.18
  5. Step 5: Solve for x
    x = 125,810,260,906.18/405,889.92
  6. Step 6: Final answer
    x = 309,961.53

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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.