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Finding the Fourth Proportional to 397,511.31, 548,604.32 and 296,734.35

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Solution

The fourth proportional to 397,511.31, 548,604.32 and 296,734.35 is: 409,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,511.31 : 548,604.32 = 296,734.35 : x
  2. Step 2: Convert to fraction form
    397,511.31/548,604.32 = 296,734.35/x
  3. Step 3: Cross multiply
    397,511.31x = 548,604.32 × 296,734.35
  4. Step 4: Simplify right side
    397,511.31x = 162,789,744,818.72
  5. Step 5: Solve for x
    x = 162,789,744,818.72/397,511.31
  6. Step 6: Final answer
    x = 409,522.30

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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.