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Finding the Fourth Proportional to 300,129.81, 413,773.82 and 192,513.01

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Solution

The fourth proportional to 300,129.81, 413,773.82 and 192,513.01 is: 265,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,129.81 : 413,773.82 = 192,513.01 : x
  2. Step 2: Convert to fraction form
    300,129.81/413,773.82 = 192,513.01/x
  3. Step 3: Cross multiply
    300,129.81x = 413,773.82 × 192,513.01
  4. Step 4: Simplify right side
    300,129.81x = 79,656,840,515.96
  5. Step 5: Solve for x
    x = 79,656,840,515.96/300,129.81
  6. Step 6: Final answer
    x = 265,407.96

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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.