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Finding the Fourth Proportional to 304,879.14, 457,318.71 and 127,289.48

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Solution

The fourth proportional to 304,879.14, 457,318.71 and 127,289.48 is: 190,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,879.14 : 457,318.71 = 127,289.48 : x
  2. Step 2: Convert to fraction form
    304,879.14/457,318.71 = 127,289.48/x
  3. Step 3: Cross multiply
    304,879.14x = 457,318.71 × 127,289.48
  4. Step 4: Simplify right side
    304,879.14x = 58,211,858,503.58
  5. Step 5: Solve for x
    x = 58,211,858,503.58/304,879.14
  6. Step 6: Final answer
    x = 190,934.21

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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.