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Finding the Fourth Proportional to 397,528.56, 548,628.12 and 296,751.60

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Solution

The fourth proportional to 397,528.56, 548,628.12 and 296,751.60 is: 409,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,528.56 : 548,628.12 = 296,751.60 : x
  2. Step 2: Convert to fraction form
    397,528.56/548,628.12 = 296,751.60/x
  3. Step 3: Cross multiply
    397,528.56x = 548,628.12 × 296,751.60
  4. Step 4: Simplify right side
    397,528.56x = 162,806,272,414.99
  5. Step 5: Solve for x
    x = 162,806,272,414.99/397,528.56
  6. Step 6: Final answer
    x = 409,546.10

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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.