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Finding the Fourth Proportional to 405,019.96, 558,925.32 and 223,744.36

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Solution

The fourth proportional to 405,019.96, 558,925.32 and 223,744.36 is: 308,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,019.96 : 558,925.32 = 223,744.36 : x
  2. Step 2: Convert to fraction form
    405,019.96/558,925.32 = 223,744.36/x
  3. Step 3: Cross multiply
    405,019.96x = 558,925.32 × 223,744.36
  4. Step 4: Simplify right side
    405,019.96x = 125,056,388,011.20
  5. Step 5: Solve for x
    x = 125,056,388,011.20/405,019.96
  6. Step 6: Final answer
    x = 308,765.99

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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.