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Finding the Fourth Proportional to 512,494.82, 768,815.73 and 157,538.64

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Solution

The fourth proportional to 512,494.82, 768,815.73 and 157,538.64 is: 236,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,494.82 : 768,815.73 = 157,538.64 : x
  2. Step 2: Convert to fraction form
    512,494.82/768,815.73 = 157,538.64/x
  3. Step 3: Cross multiply
    512,494.82x = 768,815.73 × 157,538.64
  4. Step 4: Simplify right side
    512,494.82x = 121,118,184,514.81
  5. Step 5: Solve for x
    x = 121,118,184,514.81/512,494.82
  6. Step 6: Final answer
    x = 236,330.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.