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Finding the Fourth Proportional to 392,966.92, 542,294.32 and 214,118.92

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Solution

The fourth proportional to 392,966.92, 542,294.32 and 214,118.92 is: 295,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,966.92 : 542,294.32 = 214,118.92 : x
  2. Step 2: Convert to fraction form
    392,966.92/542,294.32 = 214,118.92/x
  3. Step 3: Cross multiply
    392,966.92x = 542,294.32 × 214,118.92
  4. Step 4: Simplify right side
    392,966.92x = 116,115,474,120.53
  5. Step 5: Solve for x
    x = 116,115,474,120.53/392,966.92
  6. Step 6: Final answer
    x = 295,484.09

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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.