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Finding the Fourth Proportional to 489,462.06, 675,459.47 and 285,653.71

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Solution

The fourth proportional to 489,462.06, 675,459.47 and 285,653.71 is: 394,203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,462.06 : 675,459.47 = 285,653.71 : x
  2. Step 2: Convert to fraction form
    489,462.06/675,459.47 = 285,653.71/x
  3. Step 3: Cross multiply
    489,462.06x = 675,459.47 × 285,653.71
  4. Step 4: Simplify right side
    489,462.06x = 192,947,503,560.13
  5. Step 5: Solve for x
    x = 192,947,503,560.13/489,462.06
  6. Step 6: Final answer
    x = 394,203.19

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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.