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Finding the Fourth Proportional to 513,640.68, 770,458.86 and 139,662.60

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Solution

The fourth proportional to 513,640.68, 770,458.86 and 139,662.60 is: 209,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,640.68 : 770,458.86 = 139,662.60 : x
  2. Step 2: Convert to fraction form
    513,640.68/770,458.86 = 139,662.60/x
  3. Step 3: Cross multiply
    513,640.68x = 770,458.86 × 139,662.60
  4. Step 4: Simplify right side
    513,640.68x = 107,604,287,580.64
  5. Step 5: Solve for x
    x = 107,604,287,580.64/513,640.68
  6. Step 6: Final answer
    x = 209,493.31

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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.