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Finding the Fourth Proportional to 405,920.78, 560,159.24 and 224,640.26

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Solution

The fourth proportional to 405,920.78, 560,159.24 and 224,640.26 is: 309,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,920.78 : 560,159.24 = 224,640.26 : x
  2. Step 2: Convert to fraction form
    405,920.78/560,159.24 = 224,640.26/x
  3. Step 3: Cross multiply
    405,920.78x = 560,159.24 × 224,640.26
  4. Step 4: Simplify right side
    405,920.78x = 125,834,317,315.00
  5. Step 5: Solve for x
    x = 125,834,317,315.00/405,920.78
  6. Step 6: Final answer
    x = 309,997.23

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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.