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Finding the Fourth Proportional to 419,565.72, 629,545.41 and 209,220.06

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Solution

The fourth proportional to 419,565.72, 629,545.41 and 209,220.06 is: 313,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,565.72 : 629,545.41 = 209,220.06 : x
  2. Step 2: Convert to fraction form
    419,565.72/629,545.41 = 209,220.06/x
  3. Step 3: Cross multiply
    419,565.72x = 629,545.41 × 209,220.06
  4. Step 4: Simplify right side
    419,565.72x = 131,713,528,452.93
  5. Step 5: Solve for x
    x = 131,713,528,452.93/419,565.72
  6. Step 6: Final answer
    x = 313,928.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.