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Finding the Fourth Proportional to 405,698.82, 559,857.46 and 224,410.61

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Solution

The fourth proportional to 405,698.82, 559,857.46 and 224,410.61 is: 309,682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,698.82 : 559,857.46 = 224,410.61 : x
  2. Step 2: Convert to fraction form
    405,698.82/559,857.46 = 224,410.61/x
  3. Step 3: Cross multiply
    405,698.82x = 559,857.46 × 224,410.61
  4. Step 4: Simplify right side
    405,698.82x = 125,637,950,190.31
  5. Step 5: Solve for x
    x = 125,637,950,190.31/405,698.82
  6. Step 6: Final answer
    x = 309,682.81

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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.