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Finding the Fourth Proportional to 472,757.18, 705,448.54 and 421,805.96

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Solution

The fourth proportional to 472,757.18, 705,448.54 and 421,805.96 is: 629,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,757.18 : 705,448.54 = 421,805.96 : x
  2. Step 2: Convert to fraction form
    472,757.18/705,448.54 = 421,805.96/x
  3. Step 3: Cross multiply
    472,757.18x = 705,448.54 × 421,805.96
  4. Step 4: Simplify right side
    472,757.18x = 297,562,397,240.80
  5. Step 5: Solve for x
    x = 297,562,397,240.80/472,757.18
  6. Step 6: Final answer
    x = 629,419.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.