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Finding the Fourth Proportional to 512,737.67, 707,573.82 and 283,294.23

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Solution

The fourth proportional to 512,737.67, 707,573.82 and 283,294.23 is: 390,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,737.67 : 707,573.82 = 283,294.23 : x
  2. Step 2: Convert to fraction form
    512,737.67/707,573.82 = 283,294.23/x
  3. Step 3: Cross multiply
    512,737.67x = 707,573.82 × 283,294.23
  4. Step 4: Simplify right side
    512,737.67x = 200,451,580,505.06
  5. Step 5: Solve for x
    x = 200,451,580,505.06/512,737.67
  6. Step 6: Final answer
    x = 390,943.74

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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.