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Finding the Fourth Proportional to 392,900.48, 542,202.72 and 214,052.48

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Solution

The fourth proportional to 392,900.48, 542,202.72 and 214,052.48 is: 295,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,900.48 : 542,202.72 = 214,052.48 : x
  2. Step 2: Convert to fraction form
    392,900.48/542,202.72 = 214,052.48/x
  3. Step 3: Cross multiply
    392,900.48x = 542,202.72 × 214,052.48
  4. Step 4: Simplify right side
    392,900.48x = 116,059,836,878.75
  5. Step 5: Solve for x
    x = 116,059,836,878.75/392,900.48
  6. Step 6: Final answer
    x = 295,392.45

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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.