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Finding the Fourth Proportional to 489,326.24, 733,540.62 and 189,729.92

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Solution

The fourth proportional to 489,326.24, 733,540.62 and 189,729.92 is: 284,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,326.24 : 733,540.62 = 189,729.92 : x
  2. Step 2: Convert to fraction form
    489,326.24/733,540.62 = 189,729.92/x
  3. Step 3: Cross multiply
    489,326.24x = 733,540.62 × 189,729.92
  4. Step 4: Simplify right side
    489,326.24x = 139,174,603,149.35
  5. Step 5: Solve for x
    x = 139,174,603,149.35/489,326.24
  6. Step 6: Final answer
    x = 284,420.89

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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.