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Finding the Fourth Proportional to 355,381.69, 533,321.61 and 205,415.61

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Solution

The fourth proportional to 355,381.69, 533,321.61 and 205,415.61 is: 308,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,381.69 : 533,321.61 = 205,415.61 : x
  2. Step 2: Convert to fraction form
    355,381.69/533,321.61 = 205,415.61/x
  3. Step 3: Cross multiply
    355,381.69x = 533,321.61 × 205,415.61
  4. Step 4: Simplify right side
    355,381.69x = 109,552,583,844.33
  5. Step 5: Solve for x
    x = 109,552,583,844.33/355,381.69
  6. Step 6: Final answer
    x = 308,267.38

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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.