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Finding the Fourth Proportional to 305,792.49, 458,653.09 and 81,170.38

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Solution

The fourth proportional to 305,792.49, 458,653.09 and 81,170.38 is: 121,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,792.49 : 458,653.09 = 81,170.38 : x
  2. Step 2: Convert to fraction form
    305,792.49/458,653.09 = 81,170.38/x
  3. Step 3: Cross multiply
    305,792.49x = 458,653.09 × 81,170.38
  4. Step 4: Simplify right side
    305,792.49x = 37,229,045,603.47
  5. Step 5: Solve for x
    x = 37,229,045,603.47/305,792.49
  6. Step 6: Final answer
    x = 121,746.11

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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.