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Finding the Fourth Proportional to 408,705.76, 563,625.84 and 270,638.56

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Solution

The fourth proportional to 408,705.76, 563,625.84 and 270,638.56 is: 373,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,705.76 : 563,625.84 = 270,638.56 : x
  2. Step 2: Convert to fraction form
    408,705.76/563,625.84 = 270,638.56/x
  3. Step 3: Cross multiply
    408,705.76x = 563,625.84 × 270,638.56
  4. Step 4: Simplify right side
    408,705.76x = 152,538,885,716.39
  5. Step 5: Solve for x
    x = 152,538,885,716.39/408,705.76
  6. Step 6: Final answer
    x = 373,224.21

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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.