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Finding the Fourth Proportional to 489,115.15, 733,672.73 and 431,378.35

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Solution

The fourth proportional to 489,115.15, 733,672.73 and 431,378.35 is: 647,067.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,115.15 : 733,672.73 = 431,378.35 : x
  2. Step 2: Convert to fraction form
    489,115.15/733,672.73 = 431,378.35/x
  3. Step 3: Cross multiply
    489,115.15x = 733,672.73 × 431,378.35
  4. Step 4: Simplify right side
    489,115.15x = 316,490,531,707.40
  5. Step 5: Solve for x
    x = 316,490,531,707.40/489,115.15
  6. Step 6: Final answer
    x = 647,067.53

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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.