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Finding the Fourth Proportional to 405,138.71, 559,095.72 and 223,846.13

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Solution

The fourth proportional to 405,138.71, 559,095.72 and 223,846.13 is: 308,910.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,138.71 : 559,095.72 = 223,846.13 : x
  2. Step 2: Convert to fraction form
    405,138.71/559,095.72 = 223,846.13/x
  3. Step 3: Cross multiply
    405,138.71x = 559,095.72 × 223,846.13
  4. Step 4: Simplify right side
    405,138.71x = 125,151,412,102.33
  5. Step 5: Solve for x
    x = 125,151,412,102.33/405,138.71
  6. Step 6: Final answer
    x = 308,910.03

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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.