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Finding the Fourth Proportional to 392,863, 542,150.94 and 214,015

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Solution

The fourth proportional to 392,863, 542,150.94 and 214,015 is: 295,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,863 : 542,150.94 = 214,015 : x
  2. Step 2: Convert to fraction form
    392,863/542,150.94 = 214,015/x
  3. Step 3: Cross multiply
    392,863x = 542,150.94 × 214,015
  4. Step 4: Simplify right side
    392,863x = 116,028,433,424.10
  5. Step 5: Solve for x
    x = 116,028,433,424.10/392,863
  6. Step 6: Final answer
    x = 295,340.70

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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.