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Finding the Fourth Proportional to 513,641.90, 770,604.60 and 214,263.20

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Solution

The fourth proportional to 513,641.90, 770,604.60 and 214,263.20 is: 321,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,641.90 : 770,604.60 = 214,263.20 : x
  2. Step 2: Convert to fraction form
    513,641.90/770,604.60 = 214,263.20/x
  3. Step 3: Cross multiply
    513,641.90x = 770,604.60 × 214,263.20
  4. Step 4: Simplify right side
    513,641.90x = 165,112,207,530.72
  5. Step 5: Solve for x
    x = 165,112,207,530.72/513,641.90
  6. Step 6: Final answer
    x = 321,453.93

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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.