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Finding the Fourth Proportional to 392,381.16, 540,454.74 and 301,563.48

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Solution

The fourth proportional to 392,381.16, 540,454.74 and 301,563.48 is: 415,365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,381.16 : 540,454.74 = 301,563.48 : x
  2. Step 2: Convert to fraction form
    392,381.16/540,454.74 = 301,563.48/x
  3. Step 3: Cross multiply
    392,381.16x = 540,454.74 × 301,563.48
  4. Step 4: Simplify right side
    392,381.16x = 162,981,412,176.90
  5. Step 5: Solve for x
    x = 162,981,412,176.90/392,381.16
  6. Step 6: Final answer
    x = 415,365.03

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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.