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Finding the Fourth Proportional to 378,142.43, 565,908.53 and 233,989.16

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Solution

The fourth proportional to 378,142.43, 565,908.53 and 233,989.16 is: 350,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,142.43 : 565,908.53 = 233,989.16 : x
  2. Step 2: Convert to fraction form
    378,142.43/565,908.53 = 233,989.16/x
  3. Step 3: Cross multiply
    378,142.43x = 565,908.53 × 233,989.16
  4. Step 4: Simplify right side
    378,142.43x = 132,416,457,572.05
  5. Step 5: Solve for x
    x = 132,416,457,572.05/378,142.43
  6. Step 6: Final answer
    x = 350,176.15

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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.