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Finding the Fourth Proportional to 297,603.50, 410,695.79 and 161,640.12

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Solution

The fourth proportional to 297,603.50, 410,695.79 and 161,640.12 is: 223,064.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,603.50 : 410,695.79 = 161,640.12 : x
  2. Step 2: Convert to fraction form
    297,603.50/410,695.79 = 161,640.12/x
  3. Step 3: Cross multiply
    297,603.50x = 410,695.79 × 161,640.12
  4. Step 4: Simplify right side
    297,603.50x = 66,384,915,970.89
  5. Step 5: Solve for x
    x = 66,384,915,970.89/297,603.50
  6. Step 6: Final answer
    x = 223,064.97

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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.