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Finding the Fourth Proportional to 408,436.22, 563,598.84 and 227,118.87

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Solution

The fourth proportional to 408,436.22, 563,598.84 and 227,118.87 is: 313,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,436.22 : 563,598.84 = 227,118.87 : x
  2. Step 2: Convert to fraction form
    408,436.22/563,598.84 = 227,118.87/x
  3. Step 3: Cross multiply
    408,436.22x = 563,598.84 × 227,118.87
  4. Step 4: Simplify right side
    408,436.22x = 128,003,932,525.81
  5. Step 5: Solve for x
    x = 128,003,932,525.81/408,436.22
  6. Step 6: Final answer
    x = 313,400.05

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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.