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Finding the Fourth Proportional to 513,711.72, 770,375.88 and 176,656.86

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Solution

The fourth proportional to 513,711.72, 770,375.88 and 176,656.86 is: 264,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,711.72 : 770,375.88 = 176,656.86 : x
  2. Step 2: Convert to fraction form
    513,711.72/770,375.88 = 176,656.86/x
  3. Step 3: Cross multiply
    513,711.72x = 770,375.88 × 176,656.86
  4. Step 4: Simplify right side
    513,711.72x = 136,092,183,980.54
  5. Step 5: Solve for x
    x = 136,092,183,980.54/513,711.72
  6. Step 6: Final answer
    x = 264,919.37

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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.