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Finding the Fourth Proportional to 486,634.40, 729,433.20 and 186,999.20

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Solution

The fourth proportional to 486,634.40, 729,433.20 and 186,999.20 is: 280,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,634.40 : 729,433.20 = 186,999.20 : x
  2. Step 2: Convert to fraction form
    486,634.40/729,433.20 = 186,999.20/x
  3. Step 3: Cross multiply
    486,634.40x = 729,433.20 × 186,999.20
  4. Step 4: Simplify right side
    486,634.40x = 136,403,424,853.44
  5. Step 5: Solve for x
    x = 136,403,424,853.44/486,634.40
  6. Step 6: Final answer
    x = 280,299.59

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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.