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Finding the Fourth Proportional to 513,636.70, 770,512.65 and 158,647.90

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Solution

The fourth proportional to 513,636.70, 770,512.65 and 158,647.90 is: 237,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,636.70 : 770,512.65 = 158,647.90 : x
  2. Step 2: Convert to fraction form
    513,636.70/770,512.65 = 158,647.90/x
  3. Step 3: Cross multiply
    513,636.70x = 770,512.65 × 158,647.90
  4. Step 4: Simplify right side
    513,636.70x = 122,240,213,845.94
  5. Step 5: Solve for x
    x = 122,240,213,845.94/513,636.70
  6. Step 6: Final answer
    x = 237,989.64

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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.