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Finding the Fourth Proportional to 392,846.73, 542,128.55 and 213,998.73

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Solution

The fourth proportional to 392,846.73, 542,128.55 and 213,998.73 is: 295,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,846.73 : 542,128.55 = 213,998.73 : x
  2. Step 2: Convert to fraction form
    392,846.73/542,128.55 = 213,998.73/x
  3. Step 3: Cross multiply
    392,846.73x = 542,128.55 × 213,998.73
  4. Step 4: Simplify right side
    392,846.73x = 116,014,820,126.75
  5. Step 5: Solve for x
    x = 116,014,820,126.75/392,846.73
  6. Step 6: Final answer
    x = 295,318.28

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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.