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Finding the Fourth Proportional to 405,029.34, 558,945.18 and 223,737.53

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Solution

The fourth proportional to 405,029.34, 558,945.18 and 223,737.53 is: 308,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,029.34 : 558,945.18 = 223,737.53 : x
  2. Step 2: Convert to fraction form
    405,029.34/558,945.18 = 223,737.53/x
  3. Step 3: Cross multiply
    405,029.34x = 558,945.18 × 223,737.53
  4. Step 4: Simplify right side
    405,029.34x = 125,057,011,183.88
  5. Step 5: Solve for x
    x = 125,057,011,183.88/405,029.34
  6. Step 6: Final answer
    x = 308,760.38

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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.