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Finding the Fourth Proportional to 407,104, 561,803.76 and 248,128

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Solution

The fourth proportional to 407,104, 561,803.76 and 248,128 is: 342,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,104 : 561,803.76 = 248,128 : x
  2. Step 2: Convert to fraction form
    407,104/561,803.76 = 248,128/x
  3. Step 3: Cross multiply
    407,104x = 561,803.76 × 248,128
  4. Step 4: Simplify right side
    407,104x = 139,399,243,361.28
  5. Step 5: Solve for x
    x = 139,399,243,361.28/407,104
  6. Step 6: Final answer
    x = 342,416.79

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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.