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Finding the Fourth Proportional to 512,317.24, 706,975.02 and 285,957.56

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Solution

The fourth proportional to 512,317.24, 706,975.02 and 285,957.56 is: 394,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,317.24 : 706,975.02 = 285,957.56 : x
  2. Step 2: Convert to fraction form
    512,317.24/706,975.02 = 285,957.56/x
  3. Step 3: Cross multiply
    512,317.24x = 706,975.02 × 285,957.56
  4. Step 4: Simplify right side
    512,317.24x = 202,164,851,700.15
  5. Step 5: Solve for x
    x = 202,164,851,700.15/512,317.24
  6. Step 6: Final answer
    x = 394,608.72

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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.