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Finding the Fourth Proportional to 301,077.19, 451,615.80 and 101,380.87

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Solution

The fourth proportional to 301,077.19, 451,615.80 and 101,380.87 is: 152,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,077.19 : 451,615.80 = 101,380.87 : x
  2. Step 2: Convert to fraction form
    301,077.19/451,615.80 = 101,380.87/x
  3. Step 3: Cross multiply
    301,077.19x = 451,615.80 × 101,380.87
  4. Step 4: Simplify right side
    301,077.19x = 45,785,202,709.75
  5. Step 5: Solve for x
    x = 45,785,202,709.75/301,077.19
  6. Step 6: Final answer
    x = 152,071.31

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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.