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Finding the Fourth Proportional to 309,294.20, 427,031.58 and 237,546

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Solution

The fourth proportional to 309,294.20, 427,031.58 and 237,546 is: 327,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,294.20 : 427,031.58 = 237,546 : x
  2. Step 2: Convert to fraction form
    309,294.20/427,031.58 = 237,546/x
  3. Step 3: Cross multiply
    309,294.20x = 427,031.58 × 237,546
  4. Step 4: Simplify right side
    309,294.20x = 101,439,643,702.68
  5. Step 5: Solve for x
    x = 101,439,643,702.68/309,294.20
  6. Step 6: Final answer
    x = 327,971.37

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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.