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Finding the Fourth Proportional to 471,493.72, 650,786.49 and 290,357.52

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Solution

The fourth proportional to 471,493.72, 650,786.49 and 290,357.52 is: 400,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,493.72 : 650,786.49 = 290,357.52 : x
  2. Step 2: Convert to fraction form
    471,493.72/650,786.49 = 290,357.52/x
  3. Step 3: Cross multiply
    471,493.72x = 650,786.49 × 290,357.52
  4. Step 4: Simplify right side
    471,493.72x = 188,960,749,834.12
  5. Step 5: Solve for x
    x = 188,960,749,834.12/471,493.72
  6. Step 6: Final answer
    x = 400,770.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.