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Finding the Fourth Proportional to 300,277.48, 414,532.94 and 172,928.48

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Solution

The fourth proportional to 300,277.48, 414,532.94 and 172,928.48 is: 238,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,277.48 : 414,532.94 = 172,928.48 : x
  2. Step 2: Convert to fraction form
    300,277.48/414,532.94 = 172,928.48/x
  3. Step 3: Cross multiply
    300,277.48x = 414,532.94 × 172,928.48
  4. Step 4: Simplify right side
    300,277.48x = 71,684,551,224.13
  5. Step 5: Solve for x
    x = 71,684,551,224.13/300,277.48
  6. Step 6: Final answer
    x = 238,727.70

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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.