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Finding the Fourth Proportional to 512,536.82, 768,878.73 and 157,580.64

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Solution

The fourth proportional to 512,536.82, 768,878.73 and 157,580.64 is: 236,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,536.82 : 768,878.73 = 157,580.64 : x
  2. Step 2: Convert to fraction form
    512,536.82/768,878.73 = 157,580.64/x
  3. Step 3: Cross multiply
    512,536.82x = 768,878.73 × 157,580.64
  4. Step 4: Simplify right side
    512,536.82x = 121,160,402,355.79
  5. Step 5: Solve for x
    x = 121,160,402,355.79/512,536.82
  6. Step 6: Final answer
    x = 236,393.56

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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.