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Finding the Fourth Proportional to 277,749.32, 417,806.58 and 251,767.80

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Solution

The fourth proportional to 277,749.32, 417,806.58 and 251,767.80 is: 378,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,749.32 : 417,806.58 = 251,767.80 : x
  2. Step 2: Convert to fraction form
    277,749.32/417,806.58 = 251,767.80/x
  3. Step 3: Cross multiply
    277,749.32x = 417,806.58 × 251,767.80
  4. Step 4: Simplify right side
    277,749.32x = 105,190,243,472.12
  5. Step 5: Solve for x
    x = 105,190,243,472.12/277,749.32
  6. Step 6: Final answer
    x = 378,723.68

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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.