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Finding the Fourth Proportional to 512,709.54, 769,066.20 and 157,721.10

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Solution

The fourth proportional to 512,709.54, 769,066.20 and 157,721.10 is: 236,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,709.54 : 769,066.20 = 157,721.10 : x
  2. Step 2: Convert to fraction form
    512,709.54/769,066.20 = 157,721.10/x
  3. Step 3: Cross multiply
    512,709.54x = 769,066.20 × 157,721.10
  4. Step 4: Simplify right side
    512,709.54x = 121,297,967,036.82
  5. Step 5: Solve for x
    x = 121,297,967,036.82/512,709.54
  6. Step 6: Final answer
    x = 236,582.23

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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.