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Finding the Fourth Proportional to 397,041.54, 547,916.90 and 215,753.03

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Solution

The fourth proportional to 397,041.54, 547,916.90 and 215,753.03 is: 297,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,041.54 : 547,916.90 = 215,753.03 : x
  2. Step 2: Convert to fraction form
    397,041.54/547,916.90 = 215,753.03/x
  3. Step 3: Cross multiply
    397,041.54x = 547,916.90 × 215,753.03
  4. Step 4: Simplify right side
    397,041.54x = 118,214,729,599.55
  5. Step 5: Solve for x
    x = 118,214,729,599.55/397,041.54
  6. Step 6: Final answer
    x = 297,738.95

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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.