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Finding the Fourth Proportional to 512,703.54, 769,057.20 and 157,715.10

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Solution

The fourth proportional to 512,703.54, 769,057.20 and 157,715.10 is: 236,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,703.54 : 769,057.20 = 157,715.10 : x
  2. Step 2: Convert to fraction form
    512,703.54/769,057.20 = 157,715.10/x
  3. Step 3: Cross multiply
    512,703.54x = 769,057.20 × 157,715.10
  4. Step 4: Simplify right side
    512,703.54x = 121,291,933,203.72
  5. Step 5: Solve for x
    x = 121,291,933,203.72/512,703.54
  6. Step 6: Final answer
    x = 236,573.23

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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.