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Finding the Fourth Proportional to 392,858.56, 542,144.72 and 214,010.56

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Solution

The fourth proportional to 392,858.56, 542,144.72 and 214,010.56 is: 295,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,858.56 : 542,144.72 = 214,010.56 : x
  2. Step 2: Convert to fraction form
    392,858.56/542,144.72 = 214,010.56/x
  3. Step 3: Cross multiply
    392,858.56x = 542,144.72 × 214,010.56
  4. Step 4: Simplify right side
    392,858.56x = 116,024,695,128.24
  5. Step 5: Solve for x
    x = 116,024,695,128.24/392,858.56
  6. Step 6: Final answer
    x = 295,334.52

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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.