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Finding the Fourth Proportional to 512,540.10, 768,822.30 and 157,557.20

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Solution

The fourth proportional to 512,540.10, 768,822.30 and 157,557.20 is: 236,339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,540.10 : 768,822.30 = 157,557.20 : x
  2. Step 2: Convert to fraction form
    512,540.10/768,822.30 = 157,557.20/x
  3. Step 3: Cross multiply
    512,540.10x = 768,822.30 × 157,557.20
  4. Step 4: Simplify right side
    512,540.10x = 121,133,485,041.45
  5. Step 5: Solve for x
    x = 121,133,485,041.45/512,540.10
  6. Step 6: Final answer
    x = 236,339.53

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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.