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Finding the Fourth Proportional to 653,633.28, 901,874 and 381,577.70

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Solution

The fourth proportional to 653,633.28, 901,874 and 381,577.70 is: 526,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,633.28 : 901,874 = 381,577.70 : x
  2. Step 2: Convert to fraction form
    653,633.28/901,874 = 381,577.70/x
  3. Step 3: Cross multiply
    653,633.28x = 901,874 × 381,577.70
  4. Step 4: Simplify right side
    653,633.28x = 344,135,006,609.80
  5. Step 5: Solve for x
    x = 344,135,006,609.80/653,633.28
  6. Step 6: Final answer
    x = 526,495.54

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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.