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Finding the Fourth Proportional to 427,031.68, 640,775.94 and 277,236.76

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Solution

The fourth proportional to 427,031.68, 640,775.94 and 277,236.76 is: 416,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,031.68 : 640,775.94 = 277,236.76 : x
  2. Step 2: Convert to fraction form
    427,031.68/640,775.94 = 277,236.76/x
  3. Step 3: Cross multiply
    427,031.68x = 640,775.94 × 277,236.76
  4. Step 4: Simplify right side
    427,031.68x = 177,646,645,491.55
  5. Step 5: Solve for x
    x = 177,646,645,491.55/427,031.68
  6. Step 6: Final answer
    x = 416,003.43

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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.