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Finding the Fourth Proportional to 380,499.78, 570,755.26 and 180,840.54

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Solution

The fourth proportional to 380,499.78, 570,755.26 and 180,840.54 is: 271,263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,499.78 : 570,755.26 = 180,840.54 : x
  2. Step 2: Convert to fraction form
    380,499.78/570,755.26 = 180,840.54/x
  3. Step 3: Cross multiply
    380,499.78x = 570,755.26 × 180,840.54
  4. Step 4: Simplify right side
    380,499.78x = 103,215,689,426.24
  5. Step 5: Solve for x
    x = 103,215,689,426.24/380,499.78
  6. Step 6: Final answer
    x = 271,263.47

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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.