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Finding the Fourth Proportional to 380,544.75, 570,771.76 and 100,083.87

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Solution

The fourth proportional to 380,544.75, 570,771.76 and 100,083.87 is: 150,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,544.75 : 570,771.76 = 100,083.87 : x
  2. Step 2: Convert to fraction form
    380,544.75/570,771.76 = 100,083.87/x
  3. Step 3: Cross multiply
    380,544.75x = 570,771.76 × 100,083.87
  4. Step 4: Simplify right side
    380,544.75x = 57,125,046,627.51
  5. Step 5: Solve for x
    x = 57,125,046,627.51/380,544.75
  6. Step 6: Final answer
    x = 150,113.87

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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.