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Finding the Fourth Proportional to 355,013.56, 489,981.99 and 209,813.41

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Solution

The fourth proportional to 355,013.56, 489,981.99 and 209,813.41 is: 289,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,013.56 : 489,981.99 = 209,813.41 : x
  2. Step 2: Convert to fraction form
    355,013.56/489,981.99 = 209,813.41/x
  3. Step 3: Cross multiply
    355,013.56x = 489,981.99 × 209,813.41
  4. Step 4: Simplify right side
    355,013.56x = 102,804,792,160.49
  5. Step 5: Solve for x
    x = 102,804,792,160.49/355,013.56
  6. Step 6: Final answer
    x = 289,579.90

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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.