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Finding the Fourth Proportional to 301,257.68, 451,807.32 and 143,171.60

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Solution

The fourth proportional to 301,257.68, 451,807.32 and 143,171.60 is: 214,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,257.68 : 451,807.32 = 143,171.60 : x
  2. Step 2: Convert to fraction form
    301,257.68/451,807.32 = 143,171.60/x
  3. Step 3: Cross multiply
    301,257.68x = 451,807.32 × 143,171.60
  4. Step 4: Simplify right side
    301,257.68x = 64,685,976,896.11
  5. Step 5: Solve for x
    x = 64,685,976,896.11/301,257.68
  6. Step 6: Final answer
    x = 214,719.76

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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.