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Finding the Fourth Proportional to 653,735.31, 901,996.07 and 381,647.40

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Solution

The fourth proportional to 653,735.31, 901,996.07 and 381,647.40 is: 526,580.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,735.31 : 901,996.07 = 381,647.40 : x
  2. Step 2: Convert to fraction form
    653,735.31/901,996.07 = 381,647.40/x
  3. Step 3: Cross multiply
    653,735.31x = 901,996.07 × 381,647.40
  4. Step 4: Simplify right side
    653,735.31x = 344,244,453,017.48
  5. Step 5: Solve for x
    x = 344,244,453,017.48/653,735.31
  6. Step 6: Final answer
    x = 526,580.79

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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.