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Finding the Fourth Proportional to 388,122.86, 581,999.94 and 135,372.66

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Solution

The fourth proportional to 388,122.86, 581,999.94 and 135,372.66 is: 202,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,122.86 : 581,999.94 = 135,372.66 : x
  2. Step 2: Convert to fraction form
    388,122.86/581,999.94 = 135,372.66/x
  3. Step 3: Cross multiply
    388,122.86x = 581,999.94 × 135,372.66
  4. Step 4: Simplify right side
    388,122.86x = 78,786,879,997.64
  5. Step 5: Solve for x
    x = 78,786,879,997.64/388,122.86
  6. Step 6: Final answer
    x = 202,994.69

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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.