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Finding the Fourth Proportional to 304,872.59, 457,212 and 284,971.24

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Solution

The fourth proportional to 304,872.59, 457,212 and 284,971.24 is: 427,366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,872.59 : 457,212 = 284,971.24 : x
  2. Step 2: Convert to fraction form
    304,872.59/457,212 = 284,971.24/x
  3. Step 3: Cross multiply
    304,872.59x = 457,212 × 284,971.24
  4. Step 4: Simplify right side
    304,872.59x = 130,292,269,439.85
  5. Step 5: Solve for x
    x = 130,292,269,439.85/304,872.59
  6. Step 6: Final answer
    x = 427,366.30

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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.