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Finding the Fourth Proportional to 457,960.56, 632,202.56 and 305,253.28

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Solution

The fourth proportional to 457,960.56, 632,202.56 and 305,253.28 is: 421,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,960.56 : 632,202.56 = 305,253.28 : x
  2. Step 2: Convert to fraction form
    457,960.56/632,202.56 = 305,253.28/x
  3. Step 3: Cross multiply
    457,960.56x = 632,202.56 × 305,253.28
  4. Step 4: Simplify right side
    457,960.56x = 192,981,905,064.40
  5. Step 5: Solve for x
    x = 192,981,905,064.40/457,960.56
  6. Step 6: Final answer
    x = 421,394.16

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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.