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Finding the Fourth Proportional to 299,777.16, 413,876.01 and 285,390.96

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Solution

The fourth proportional to 299,777.16, 413,876.01 and 285,390.96 is: 394,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,777.16 : 413,876.01 = 285,390.96 : x
  2. Step 2: Convert to fraction form
    299,777.16/413,876.01 = 285,390.96/x
  3. Step 3: Cross multiply
    299,777.16x = 413,876.01 × 285,390.96
  4. Step 4: Simplify right side
    299,777.16x = 118,116,471,814.87
  5. Step 5: Solve for x
    x = 118,116,471,814.87/299,777.16
  6. Step 6: Final answer
    x = 394,014.25

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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.