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Finding the Fourth Proportional to 392,960.25, 542,285.15 and 214,112.25

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Solution

The fourth proportional to 392,960.25, 542,285.15 and 214,112.25 is: 295,474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,960.25 : 542,285.15 = 214,112.25 : x
  2. Step 2: Convert to fraction form
    392,960.25/542,285.15 = 214,112.25/x
  3. Step 3: Cross multiply
    392,960.25x = 542,285.15 × 214,112.25
  4. Step 4: Simplify right side
    392,960.25x = 116,109,892,537.53
  5. Step 5: Solve for x
    x = 116,109,892,537.53/392,960.25
  6. Step 6: Final answer
    x = 295,474.91

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1.5x scale

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.