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Finding the Fourth Proportional to 380,496.78, 570,750.75 and 180,837.54

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Solution

The fourth proportional to 380,496.78, 570,750.75 and 180,837.54 is: 271,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,496.78 : 570,750.75 = 180,837.54 : x
  2. Step 2: Convert to fraction form
    380,496.78/570,750.75 = 180,837.54/x
  3. Step 3: Cross multiply
    380,496.78x = 570,750.75 × 180,837.54
  4. Step 4: Simplify right side
    380,496.78x = 103,213,161,583.16
  5. Step 5: Solve for x
    x = 103,213,161,583.16/380,496.78
  6. Step 6: Final answer
    x = 271,258.96

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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.