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Finding the Fourth Proportional to 361,771.77, 499,165.18 and 208,777.45

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Solution

The fourth proportional to 361,771.77, 499,165.18 and 208,777.45 is: 288,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,771.77 : 499,165.18 = 208,777.45 : x
  2. Step 2: Convert to fraction form
    361,771.77/499,165.18 = 208,777.45/x
  3. Step 3: Cross multiply
    361,771.77x = 499,165.18 × 208,777.45
  4. Step 4: Simplify right side
    361,771.77x = 104,214,433,409.19
  5. Step 5: Solve for x
    x = 104,214,433,409.19/361,771.77
  6. Step 6: Final answer
    x = 288,066.79

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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.