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Finding the Fourth Proportional to 407,102, 561,801 and 248,126

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Solution

The fourth proportional to 407,102, 561,801 and 248,126 is: 342,414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,102 : 561,801 = 248,126 : x
  2. Step 2: Convert to fraction form
    407,102/561,801 = 248,126/x
  3. Step 3: Cross multiply
    407,102x = 561,801 × 248,126
  4. Step 4: Simplify right side
    407,102x = 139,397,434,926
  5. Step 5: Solve for x
    x = 139,397,434,926/407,102
  6. Step 6: Final answer
    x = 342,414.03

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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.