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Finding the Fourth Proportional to 405,578.80, 559,688.16 and 224,285.68

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Solution

The fourth proportional to 405,578.80, 559,688.16 and 224,285.68 is: 309,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,578.80 : 559,688.16 = 224,285.68 : x
  2. Step 2: Convert to fraction form
    405,578.80/559,688.16 = 224,285.68/x
  3. Step 3: Cross multiply
    405,578.80x = 559,688.16 × 224,285.68
  4. Step 4: Simplify right side
    405,578.80x = 125,530,039,553.55
  5. Step 5: Solve for x
    x = 125,530,039,553.55/405,578.80
  6. Step 6: Final answer
    x = 309,508.39

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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.