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Finding the Fourth Proportional to 512,483.73, 707,232.84 and 283,046.77

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Solution

The fourth proportional to 512,483.73, 707,232.84 and 283,046.77 is: 390,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,483.73 : 707,232.84 = 283,046.77 : x
  2. Step 2: Convert to fraction form
    512,483.73/707,232.84 = 283,046.77/x
  3. Step 3: Cross multiply
    512,483.73x = 707,232.84 × 283,046.77
  4. Step 4: Simplify right side
    512,483.73x = 200,179,970,822.54
  5. Step 5: Solve for x
    x = 200,179,970,822.54/512,483.73
  6. Step 6: Final answer
    x = 390,607.47

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1.5x scale

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.