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Finding the Fourth Proportional to 257,224.40, 385,606.20 and 168,520.40

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Solution

The fourth proportional to 257,224.40, 385,606.20 and 168,520.40 is: 252,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,224.40 : 385,606.20 = 168,520.40 : x
  2. Step 2: Convert to fraction form
    257,224.40/385,606.20 = 168,520.40/x
  3. Step 3: Cross multiply
    257,224.40x = 385,606.20 × 168,520.40
  4. Step 4: Simplify right side
    257,224.40x = 64,982,511,066.48
  5. Step 5: Solve for x
    x = 64,982,511,066.48/257,224.40
  6. Step 6: Final answer
    x = 252,629.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.