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Finding the Fourth Proportional to 412,265.72, 618,487.28 and 127,950.86

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Solution

The fourth proportional to 412,265.72, 618,487.28 and 127,950.86 is: 191,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,265.72 : 618,487.28 = 127,950.86 : x
  2. Step 2: Convert to fraction form
    412,265.72/618,487.28 = 127,950.86/x
  3. Step 3: Cross multiply
    412,265.72x = 618,487.28 × 127,950.86
  4. Step 4: Simplify right side
    412,265.72x = 79,135,975,642.87
  5. Step 5: Solve for x
    x = 79,135,975,642.87/412,265.72
  6. Step 6: Final answer
    x = 191,953.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.