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Finding the Fourth Proportional to 513,818.40, 770,727.60 and 214,199.40

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Solution

The fourth proportional to 513,818.40, 770,727.60 and 214,199.40 is: 321,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,818.40 : 770,727.60 = 214,199.40 : x
  2. Step 2: Convert to fraction form
    513,818.40/770,727.60 = 214,199.40/x
  3. Step 3: Cross multiply
    513,818.40x = 770,727.60 × 214,199.40
  4. Step 4: Simplify right side
    513,818.40x = 165,089,389,483.44
  5. Step 5: Solve for x
    x = 165,089,389,483.44/513,818.40
  6. Step 6: Final answer
    x = 321,299.10

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Similar ratio
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1.5x scale

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.