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Finding the Fourth Proportional to 405,921.28, 560,159.92 and 224,640.76

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Solution

The fourth proportional to 405,921.28, 560,159.92 and 224,640.76 is: 309,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,921.28 : 560,159.92 = 224,640.76 : x
  2. Step 2: Convert to fraction form
    405,921.28/560,159.92 = 224,640.76/x
  3. Step 3: Cross multiply
    405,921.28x = 560,159.92 × 224,640.76
  4. Step 4: Simplify right side
    405,921.28x = 125,834,750,150.34
  5. Step 5: Solve for x
    x = 125,834,750,150.34/405,921.28
  6. Step 6: Final answer
    x = 309,997.91

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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.