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Finding the Fourth Proportional to 405,660, 559,800.48 and 224,379.36

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Solution

The fourth proportional to 405,660, 559,800.48 and 224,379.36 is: 309,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,660 : 559,800.48 = 224,379.36 : x
  2. Step 2: Convert to fraction form
    405,660/559,800.48 = 224,379.36/x
  3. Step 3: Cross multiply
    405,660x = 559,800.48 × 224,379.36
  4. Step 4: Simplify right side
    405,660x = 125,607,673,430.09
  5. Step 5: Solve for x
    x = 125,607,673,430.09/405,660
  6. Step 6: Final answer
    x = 309,637.81

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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.