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Finding the Fourth Proportional to 513,599.50, 770,749.20 and 181,175.50

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Solution

The fourth proportional to 513,599.50, 770,749.20 and 181,175.50 is: 271,886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,599.50 : 770,749.20 = 181,175.50 : x
  2. Step 2: Convert to fraction form
    513,599.50/770,749.20 = 181,175.50/x
  3. Step 3: Cross multiply
    513,599.50x = 770,749.20 × 181,175.50
  4. Step 4: Simplify right side
    513,599.50x = 139,640,871,684.60
  5. Step 5: Solve for x
    x = 139,640,871,684.60/513,599.50
  6. Step 6: Final answer
    x = 271,886.70

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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.