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Finding the Fourth Proportional to 493,872.90, 740,792.64 and 209,380.34

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Solution

The fourth proportional to 493,872.90, 740,792.64 and 209,380.34 is: 314,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,872.90 : 740,792.64 = 209,380.34 : x
  2. Step 2: Convert to fraction form
    493,872.90/740,792.64 = 209,380.34/x
  3. Step 3: Cross multiply
    493,872.90x = 740,792.64 × 209,380.34
  4. Step 4: Simplify right side
    493,872.90x = 155,107,416,292.09
  5. Step 5: Solve for x
    x = 155,107,416,292.09/493,872.90
  6. Step 6: Final answer
    x = 314,063.43

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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.