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Finding the Fourth Proportional to 294,759.36, 406,745.28 and 165,690.72

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Solution

The fourth proportional to 294,759.36, 406,745.28 and 165,690.72 is: 228,640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,759.36 : 406,745.28 = 165,690.72 : x
  2. Step 2: Convert to fraction form
    294,759.36/406,745.28 = 165,690.72/x
  3. Step 3: Cross multiply
    294,759.36x = 406,745.28 × 165,690.72
  4. Step 4: Simplify right side
    294,759.36x = 67,393,918,299.80
  5. Step 5: Solve for x
    x = 67,393,918,299.80/294,759.36
  6. Step 6: Final answer
    x = 228,640.47

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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.