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Finding the Fourth Proportional to 405,100.92, 559,039.32 and 235,345.98

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Solution

The fourth proportional to 405,100.92, 559,039.32 and 235,345.98 is: 324,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,100.92 : 559,039.32 = 235,345.98 : x
  2. Step 2: Convert to fraction form
    405,100.92/559,039.32 = 235,345.98/x
  3. Step 3: Cross multiply
    405,100.92x = 559,039.32 × 235,345.98
  4. Step 4: Simplify right side
    405,100.92x = 131,567,656,623.93
  5. Step 5: Solve for x
    x = 131,567,656,623.93/405,100.92
  6. Step 6: Final answer
    x = 324,777.48

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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.