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Finding the Fourth Proportional to 513,639.20, 770,516.40 and 158,650.40

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Solution

The fourth proportional to 513,639.20, 770,516.40 and 158,650.40 is: 237,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,639.20 : 770,516.40 = 158,650.40 : x
  2. Step 2: Convert to fraction form
    513,639.20/770,516.40 = 158,650.40/x
  3. Step 3: Cross multiply
    513,639.20x = 770,516.40 × 158,650.40
  4. Step 4: Simplify right side
    513,639.20x = 122,242,735,066.56
  5. Step 5: Solve for x
    x = 122,242,735,066.56/513,639.20
  6. Step 6: Final answer
    x = 237,993.39

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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.