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Finding the Fourth Proportional to 208,438.36, 312,629.86 and 58,690.32

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Solution

The fourth proportional to 208,438.36, 312,629.86 and 58,690.32 is: 88,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,438.36 : 312,629.86 = 58,690.32 : x
  2. Step 2: Convert to fraction form
    208,438.36/312,629.86 = 58,690.32/x
  3. Step 3: Cross multiply
    208,438.36x = 312,629.86 × 58,690.32
  4. Step 4: Simplify right side
    208,438.36x = 18,348,347,369.59
  5. Step 5: Solve for x
    x = 18,348,347,369.59/208,438.36
  6. Step 6: Final answer
    x = 88,027.69

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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.