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Finding the Fourth Proportional to 275,564.94, 380,253.35 and 154,678.52

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Solution

The fourth proportional to 275,564.94, 380,253.35 and 154,678.52 is: 213,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,564.94 : 380,253.35 = 154,678.52 : x
  2. Step 2: Convert to fraction form
    275,564.94/380,253.35 = 154,678.52/x
  3. Step 3: Cross multiply
    275,564.94x = 380,253.35 × 154,678.52
  4. Step 4: Simplify right side
    275,564.94x = 58,817,025,403.04
  5. Step 5: Solve for x
    x = 58,817,025,403.04/275,564.94
  6. Step 6: Final answer
    x = 213,441.61

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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.