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Finding the Fourth Proportional to 512,851.28, 707,761.94 and 308,966.38

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Solution

The fourth proportional to 512,851.28, 707,761.94 and 308,966.38 is: 426,389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,851.28 : 707,761.94 = 308,966.38 : x
  2. Step 2: Convert to fraction form
    512,851.28/707,761.94 = 308,966.38/x
  3. Step 3: Cross multiply
    512,851.28x = 707,761.94 × 308,966.38
  4. Step 4: Simplify right side
    512,851.28x = 218,674,639,419.94
  5. Step 5: Solve for x
    x = 218,674,639,419.94/512,851.28
  6. Step 6: Final answer
    x = 426,389.97

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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.