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Finding the Fourth Proportional to 512,645.85, 768,981.33 and 157,662.54

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Solution

The fourth proportional to 512,645.85, 768,981.33 and 157,662.54 is: 236,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,645.85 : 768,981.33 = 157,662.54 : x
  2. Step 2: Convert to fraction form
    512,645.85/768,981.33 = 157,662.54/x
  3. Step 3: Cross multiply
    512,645.85x = 768,981.33 × 157,662.54
  4. Step 4: Simplify right side
    512,645.85x = 121,239,549,700.38
  5. Step 5: Solve for x
    x = 121,239,549,700.38/512,645.85
  6. Step 6: Final answer
    x = 236,497.67

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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.