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Finding the Fourth Proportional to 513,865.60, 770,683.20 and 337,609.60

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Solution

The fourth proportional to 513,865.60, 770,683.20 and 337,609.60 is: 506,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,865.60 : 770,683.20 = 337,609.60 : x
  2. Step 2: Convert to fraction form
    513,865.60/770,683.20 = 337,609.60/x
  3. Step 3: Cross multiply
    513,865.60x = 770,683.20 × 337,609.60
  4. Step 4: Simplify right side
    513,865.60x = 260,190,046,878.72
  5. Step 5: Solve for x
    x = 260,190,046,878.72/513,865.60
  6. Step 6: Final answer
    x = 506,338.71

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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.