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Finding the Fourth Proportional to 393,680.16, 590,693.76 and 206,648.64

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Solution

The fourth proportional to 393,680.16, 590,693.76 and 206,648.64 is: 310,064.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,680.16 : 590,693.76 = 206,648.64 : x
  2. Step 2: Convert to fraction form
    393,680.16/590,693.76 = 206,648.64/x
  3. Step 3: Cross multiply
    393,680.16x = 590,693.76 × 206,648.64
  4. Step 4: Simplify right side
    393,680.16x = 122,066,062,160.49
  5. Step 5: Solve for x
    x = 122,066,062,160.49/393,680.16
  6. Step 6: Final answer
    x = 310,064.04

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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.