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Finding the Fourth Proportional to 301,214.54, 451,528.04 and 143,400.62

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Solution

The fourth proportional to 301,214.54, 451,528.04 and 143,400.62 is: 214,961.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,214.54 : 451,528.04 = 143,400.62 : x
  2. Step 2: Convert to fraction form
    301,214.54/451,528.04 = 143,400.62/x
  3. Step 3: Cross multiply
    301,214.54x = 451,528.04 × 143,400.62
  4. Step 4: Simplify right side
    301,214.54x = 64,749,398,984.25
  5. Step 5: Solve for x
    x = 64,749,398,984.25/301,214.54
  6. Step 6: Final answer
    x = 214,961.07

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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.