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Finding the Fourth Proportional to 408,208.94, 563,603.20 and 365,054.56

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Solution

The fourth proportional to 408,208.94, 563,603.20 and 365,054.56 is: 504,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,208.94 : 563,603.20 = 365,054.56 : x
  2. Step 2: Convert to fraction form
    408,208.94/563,603.20 = 365,054.56/x
  3. Step 3: Cross multiply
    408,208.94x = 563,603.20 × 365,054.56
  4. Step 4: Simplify right side
    408,208.94x = 205,745,918,190.59
  5. Step 5: Solve for x
    x = 205,745,918,190.59/408,208.94
  6. Step 6: Final answer
    x = 504,021.10

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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.