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Finding the Fourth Proportional to 306,046.98, 422,336.40 and 170,077.44

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Solution

The fourth proportional to 306,046.98, 422,336.40 and 170,077.44 is: 234,702.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,046.98 : 422,336.40 = 170,077.44 : x
  2. Step 2: Convert to fraction form
    306,046.98/422,336.40 = 170,077.44/x
  3. Step 3: Cross multiply
    306,046.98x = 422,336.40 × 170,077.44
  4. Step 4: Simplify right side
    306,046.98x = 71,829,893,730.82
  5. Step 5: Solve for x
    x = 71,829,893,730.82/306,046.98
  6. Step 6: Final answer
    x = 234,702.18

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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.