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Finding the Fourth Proportional to 297,603.64, 410,696.04 and 161,638.90

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Solution

The fourth proportional to 297,603.64, 410,696.04 and 161,638.90 is: 223,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,603.64 : 410,696.04 = 161,638.90 : x
  2. Step 2: Convert to fraction form
    297,603.64/410,696.04 = 161,638.90/x
  3. Step 3: Cross multiply
    297,603.64x = 410,696.04 × 161,638.90
  4. Step 4: Simplify right side
    297,603.64x = 66,384,456,139.96
  5. Step 5: Solve for x
    x = 66,384,456,139.96/297,603.64
  6. Step 6: Final answer
    x = 223,063.32

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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.