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Finding the Fourth Proportional to 489,838.50, 676,295.91 and 298,962.54

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Solution

The fourth proportional to 489,838.50, 676,295.91 and 298,962.54 is: 412,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,838.50 : 676,295.91 = 298,962.54 : x
  2. Step 2: Convert to fraction form
    489,838.50/676,295.91 = 298,962.54/x
  3. Step 3: Cross multiply
    489,838.50x = 676,295.91 × 298,962.54
  4. Step 4: Simplify right side
    489,838.50x = 202,187,143,045.21
  5. Step 5: Solve for x
    x = 202,187,143,045.21/489,838.50
  6. Step 6: Final answer
    x = 412,762.87

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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.