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Finding the Fourth Proportional to 361,796.16, 499,212.69 and 208,778.53

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Solution

The fourth proportional to 361,796.16, 499,212.69 and 208,778.53 is: 288,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,796.16 : 499,212.69 = 208,778.53 : x
  2. Step 2: Convert to fraction form
    361,796.16/499,212.69 = 208,778.53/x
  3. Step 3: Cross multiply
    361,796.16x = 499,212.69 × 208,778.53
  4. Step 4: Simplify right side
    361,796.16x = 104,224,892,199.56
  5. Step 5: Solve for x
    x = 104,224,892,199.56/361,796.16
  6. Step 6: Final answer
    x = 288,076.28

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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.