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Finding the Fourth Proportional to 301,040.70, 451,509.21 and 141,133.74

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Solution

The fourth proportional to 301,040.70, 451,509.21 and 141,133.74 is: 211,676.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,040.70 : 451,509.21 = 141,133.74 : x
  2. Step 2: Convert to fraction form
    301,040.70/451,509.21 = 141,133.74/x
  3. Step 3: Cross multiply
    301,040.70x = 451,509.21 × 141,133.74
  4. Step 4: Simplify right side
    301,040.70x = 63,723,183,451.75
  5. Step 5: Solve for x
    x = 63,723,183,451.75/301,040.70
  6. Step 6: Final answer
    x = 211,676.31

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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.