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Finding the Fourth Proportional to 380,071.77, 570,016.94 and 113,760.78

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Solution

The fourth proportional to 380,071.77, 570,016.94 and 113,760.78 is: 170,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,071.77 : 570,016.94 = 113,760.78 : x
  2. Step 2: Convert to fraction form
    380,071.77/570,016.94 = 113,760.78/x
  3. Step 3: Cross multiply
    380,071.77x = 570,016.94 × 113,760.78
  4. Step 4: Simplify right side
    380,071.77x = 64,845,571,138.81
  5. Step 5: Solve for x
    x = 64,845,571,138.81/380,071.77
  6. Step 6: Final answer
    x = 170,614.02

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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.