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Finding the Fourth Proportional to 205,205.54, 307,914.89 and 155,270.79

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Solution

The fourth proportional to 205,205.54, 307,914.89 and 155,270.79 is: 232,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,205.54 : 307,914.89 = 155,270.79 : x
  2. Step 2: Convert to fraction form
    205,205.54/307,914.89 = 155,270.79/x
  3. Step 3: Cross multiply
    205,205.54x = 307,914.89 × 155,270.79
  4. Step 4: Simplify right side
    205,205.54x = 47,810,187,446.71
  5. Step 5: Solve for x
    x = 47,810,187,446.71/205,205.54
  6. Step 6: Final answer
    x = 232,986.83

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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.