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Finding the Fourth Proportional to 655,910.94, 905,204.16 and 365,542.05

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Solution

The fourth proportional to 655,910.94, 905,204.16 and 365,542.05 is: 504,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,910.94 : 905,204.16 = 365,542.05 : x
  2. Step 2: Convert to fraction form
    655,910.94/905,204.16 = 365,542.05/x
  3. Step 3: Cross multiply
    655,910.94x = 905,204.16 × 365,542.05
  4. Step 4: Simplify right side
    655,910.94x = 330,890,184,314.93
  5. Step 5: Solve for x
    x = 330,890,184,314.93/655,910.94
  6. Step 6: Final answer
    x = 504,474.26

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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.