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Finding the Fourth Proportional to 512,825.82, 707,695.76 and 283,398.58

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Solution

The fourth proportional to 512,825.82, 707,695.76 and 283,398.58 is: 391,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,825.82 : 707,695.76 = 283,398.58 : x
  2. Step 2: Convert to fraction form
    512,825.82/707,695.76 = 283,398.58/x
  3. Step 3: Cross multiply
    512,825.82x = 707,695.76 × 283,398.58
  4. Step 4: Simplify right side
    512,825.82x = 200,559,973,456.02
  5. Step 5: Solve for x
    x = 200,559,973,456.02/512,825.82
  6. Step 6: Final answer
    x = 391,087.90

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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.