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Finding the Fourth Proportional to 521,139.63, 781,844.21 and 305,180.74

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Solution

The fourth proportional to 521,139.63, 781,844.21 and 305,180.74 is: 457,850.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,139.63 : 781,844.21 = 305,180.74 : x
  2. Step 2: Convert to fraction form
    521,139.63/781,844.21 = 305,180.74/x
  3. Step 3: Cross multiply
    521,139.63x = 781,844.21 × 305,180.74
  4. Step 4: Simplify right side
    521,139.63x = 238,603,790,663.29
  5. Step 5: Solve for x
    x = 238,603,790,663.29/521,139.63
  6. Step 6: Final answer
    x = 457,850.03

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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.