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Finding the Fourth Proportional to 397,034.64, 547,906.74 and 215,746.56

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Solution

The fourth proportional to 397,034.64, 547,906.74 and 215,746.56 is: 297,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,034.64 : 547,906.74 = 215,746.56 : x
  2. Step 2: Convert to fraction form
    397,034.64/547,906.74 = 215,746.56/x
  3. Step 3: Cross multiply
    397,034.64x = 547,906.74 × 215,746.56
  4. Step 4: Simplify right side
    397,034.64x = 118,208,994,355.81
  5. Step 5: Solve for x
    x = 118,208,994,355.81/397,034.64
  6. Step 6: Final answer
    x = 297,729.68

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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.