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Finding the Fourth Proportional to 287,879.05, 431,605.32 and 137,976.67

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Solution

The fourth proportional to 287,879.05, 431,605.32 and 137,976.67 is: 206,862.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,879.05 : 431,605.32 = 137,976.67 : x
  2. Step 2: Convert to fraction form
    287,879.05/431,605.32 = 137,976.67/x
  3. Step 3: Cross multiply
    287,879.05x = 431,605.32 × 137,976.67
  4. Step 4: Simplify right side
    287,879.05x = 59,551,464,807.88
  5. Step 5: Solve for x
    x = 59,551,464,807.88/287,879.05
  6. Step 6: Final answer
    x = 206,862.79

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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.