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Finding the Fourth Proportional to 354,513.50, 489,230.16 and 193,372.01

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Solution

The fourth proportional to 354,513.50, 489,230.16 and 193,372.01 is: 266,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,513.50 : 489,230.16 = 193,372.01 : x
  2. Step 2: Convert to fraction form
    354,513.50/489,230.16 = 193,372.01/x
  3. Step 3: Cross multiply
    354,513.50x = 489,230.16 × 193,372.01
  4. Step 4: Simplify right side
    354,513.50x = 94,603,419,391.82
  5. Step 5: Solve for x
    x = 94,603,419,391.82/354,513.50
  6. Step 6: Final answer
    x = 266,854.21

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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.