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Finding the Fourth Proportional to 587,162.96, 810,286.44 and 345,454.64

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Solution

The fourth proportional to 587,162.96, 810,286.44 and 345,454.64 is: 476,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,162.96 : 810,286.44 = 345,454.64 : x
  2. Step 2: Convert to fraction form
    587,162.96/810,286.44 = 345,454.64/x
  3. Step 3: Cross multiply
    587,162.96x = 810,286.44 × 345,454.64
  4. Step 4: Simplify right side
    587,162.96x = 279,917,210,427.08
  5. Step 5: Solve for x
    x = 279,917,210,427.08/587,162.96
  6. Step 6: Final answer
    x = 476,728.32

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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.