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Finding the Fourth Proportional to 489,238.28, 675,150 and 285,429.32

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Solution

The fourth proportional to 489,238.28, 675,150 and 285,429.32 is: 393,893.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,238.28 : 675,150 = 285,429.32 : x
  2. Step 2: Convert to fraction form
    489,238.28/675,150 = 285,429.32/x
  3. Step 3: Cross multiply
    489,238.28x = 675,150 × 285,429.32
  4. Step 4: Simplify right side
    489,238.28x = 192,707,605,398
  5. Step 5: Solve for x
    x = 192,707,605,398/489,238.28
  6. Step 6: Final answer
    x = 393,893.15

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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.