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Finding the Fourth Proportional to 512,996.64, 707,933.85 and 286,642.32

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Solution

The fourth proportional to 512,996.64, 707,933.85 and 286,642.32 is: 395,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,996.64 : 707,933.85 = 286,642.32 : x
  2. Step 2: Convert to fraction form
    512,996.64/707,933.85 = 286,642.32/x
  3. Step 3: Cross multiply
    512,996.64x = 707,933.85 × 286,642.32
  4. Step 4: Simplify right side
    512,996.64x = 202,923,801,170.53
  5. Step 5: Solve for x
    x = 202,923,801,170.53/512,996.64
  6. Step 6: Final answer
    x = 395,565.56

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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.