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Finding the Fourth Proportional to 265,015.69, 397,567.86 and 208,087.29

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Solution

The fourth proportional to 265,015.69, 397,567.86 and 208,087.29 is: 312,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,015.69 : 397,567.86 = 208,087.29 : x
  2. Step 2: Convert to fraction form
    265,015.69/397,567.86 = 208,087.29/x
  3. Step 3: Cross multiply
    265,015.69x = 397,567.86 × 208,087.29
  4. Step 4: Simplify right side
    265,015.69x = 82,728,818,379.54
  5. Step 5: Solve for x
    x = 82,728,818,379.54/265,015.69
  6. Step 6: Final answer
    x = 312,165.74

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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.