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Finding the Fourth Proportional to 512,473, 707,218 and 283,036

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Solution

The fourth proportional to 512,473, 707,218 and 283,036 is: 390,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,473 : 707,218 = 283,036 : x
  2. Step 2: Convert to fraction form
    512,473/707,218 = 283,036/x
  3. Step 3: Cross multiply
    512,473x = 707,218 × 283,036
  4. Step 4: Simplify right side
    512,473x = 200,168,153,848
  5. Step 5: Solve for x
    x = 200,168,153,848/512,473
  6. Step 6: Final answer
    x = 390,592.59

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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.