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Finding the Fourth Proportional to 304,954.80, 457,349.28 and 127,424.64

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Solution

The fourth proportional to 304,954.80, 457,349.28 and 127,424.64 is: 191,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,954.80 : 457,349.28 = 127,424.64 : x
  2. Step 2: Convert to fraction form
    304,954.80/457,349.28 = 127,424.64/x
  3. Step 3: Cross multiply
    304,954.80x = 457,349.28 × 127,424.64
  4. Step 4: Simplify right side
    304,954.80x = 58,277,567,358.26
  5. Step 5: Solve for x
    x = 58,277,567,358.26/304,954.80
  6. Step 6: Final answer
    x = 191,102.31

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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.