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Finding the Fourth Proportional to 512,222.76, 768,448.35 and 157,272.66

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Solution

The fourth proportional to 512,222.76, 768,448.35 and 157,272.66 is: 235,944.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,222.76 : 768,448.35 = 157,272.66 : x
  2. Step 2: Convert to fraction form
    512,222.76/768,448.35 = 157,272.66/x
  3. Step 3: Cross multiply
    512,222.76x = 768,448.35 × 157,272.66
  4. Step 4: Simplify right side
    512,222.76x = 120,855,916,077.11
  5. Step 5: Solve for x
    x = 120,855,916,077.11/512,222.76
  6. Step 6: Final answer
    x = 235,944.06

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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.