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Finding the Fourth Proportional to 512,582.56, 707,361.12 and 283,155.64

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Solution

The fourth proportional to 512,582.56, 707,361.12 and 283,155.64 is: 390,753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,582.56 : 707,361.12 = 283,155.64 : x
  2. Step 2: Convert to fraction form
    512,582.56/707,361.12 = 283,155.64/x
  3. Step 3: Cross multiply
    512,582.56x = 707,361.12 × 283,155.64
  4. Step 4: Simplify right side
    512,582.56x = 200,293,290,644.72
  5. Step 5: Solve for x
    x = 200,293,290,644.72/512,582.56
  6. Step 6: Final answer
    x = 390,753.23

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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.