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Finding the Fourth Proportional to 407,104, 561,803.52 and 228,256

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Solution

The fourth proportional to 407,104, 561,803.52 and 228,256 is: 314,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,104 : 561,803.52 = 228,256 : x
  2. Step 2: Convert to fraction form
    407,104/561,803.52 = 228,256/x
  3. Step 3: Cross multiply
    407,104x = 561,803.52 × 228,256
  4. Step 4: Simplify right side
    407,104x = 128,235,024,261.12
  5. Step 5: Solve for x
    x = 128,235,024,261.12/407,104
  6. Step 6: Final answer
    x = 314,993.28

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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.