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Finding the Fourth Proportional to 208,311.72, 287,487.87 and 117,684.31

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Solution

The fourth proportional to 208,311.72, 287,487.87 and 117,684.31 is: 162,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,311.72 : 287,487.87 = 117,684.31 : x
  2. Step 2: Convert to fraction form
    208,311.72/287,487.87 = 117,684.31/x
  3. Step 3: Cross multiply
    208,311.72x = 287,487.87 × 117,684.31
  4. Step 4: Simplify right side
    208,311.72x = 33,832,810,993.32
  5. Step 5: Solve for x
    x = 33,832,810,993.32/208,311.72
  6. Step 6: Final answer
    x = 162,414.35

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1.5x scale

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.