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Finding the Fourth Proportional to 471,871.62, 707,805.81 and 191,388.06

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Solution

The fourth proportional to 471,871.62, 707,805.81 and 191,388.06 is: 287,081.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,871.62 : 707,805.81 = 191,388.06 : x
  2. Step 2: Convert to fraction form
    471,871.62/707,805.81 = 191,388.06/x
  3. Step 3: Cross multiply
    471,871.62x = 707,805.81 × 191,388.06
  4. Step 4: Simplify right side
    471,871.62x = 135,465,580,832.63
  5. Step 5: Solve for x
    x = 135,465,580,832.63/471,871.62
  6. Step 6: Final answer
    x = 287,081.43

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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.