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Finding the Fourth Proportional to 513,815.98, 770,194.22 and 214,470.76

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Solution

The fourth proportional to 513,815.98, 770,194.22 and 214,470.76 is: 321,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,815.98 : 770,194.22 = 214,470.76 : x
  2. Step 2: Convert to fraction form
    513,815.98/770,194.22 = 214,470.76/x
  3. Step 3: Cross multiply
    513,815.98x = 770,194.22 × 214,470.76
  4. Step 4: Simplify right side
    513,815.98x = 165,184,139,711.01
  5. Step 5: Solve for x
    x = 165,184,139,711.01/513,815.98
  6. Step 6: Final answer
    x = 321,485.02

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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.