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Finding the Fourth Proportional to 512,989.23, 707,903.22 and 283,534.77

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Solution

The fourth proportional to 512,989.23, 707,903.22 and 283,534.77 is: 391,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,989.23 : 707,903.22 = 283,534.77 : x
  2. Step 2: Convert to fraction form
    512,989.23/707,903.22 = 283,534.77/x
  3. Step 3: Cross multiply
    512,989.23x = 707,903.22 × 283,534.77
  4. Step 4: Simplify right side
    512,989.23x = 200,715,176,664.96
  5. Step 5: Solve for x
    x = 200,715,176,664.96/512,989.23
  6. Step 6: Final answer
    x = 391,265.87

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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.