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Finding the Fourth Proportional to 405,722.79, 559,892.66 and 224,420.49

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Solution

The fourth proportional to 405,722.79, 559,892.66 and 224,420.49 is: 309,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,722.79 : 559,892.66 = 224,420.49 : x
  2. Step 2: Convert to fraction form
    405,722.79/559,892.66 = 224,420.49/x
  3. Step 3: Cross multiply
    405,722.79x = 559,892.66 × 224,420.49
  4. Step 4: Simplify right side
    405,722.79x = 125,651,383,982.50
  5. Step 5: Solve for x
    x = 125,651,383,982.50/405,722.79
  6. Step 6: Final answer
    x = 309,697.62

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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.