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Finding the Fourth Proportional to 408,427.30, 563,628.44 and 227,155.98

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Solution

The fourth proportional to 408,427.30, 563,628.44 and 227,155.98 is: 313,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,427.30 : 563,628.44 = 227,155.98 : x
  2. Step 2: Convert to fraction form
    408,427.30/563,628.44 = 227,155.98/x
  3. Step 3: Cross multiply
    408,427.30x = 563,628.44 × 227,155.98
  4. Step 4: Simplify right side
    408,427.30x = 128,031,570,644.07
  5. Step 5: Solve for x
    x = 128,031,570,644.07/408,427.30
  6. Step 6: Final answer
    x = 313,474.57

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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.