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Finding the Fourth Proportional to 306,090.90, 422,385.03 and 170,116.02

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Solution

The fourth proportional to 306,090.90, 422,385.03 and 170,116.02 is: 234,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,090.90 : 422,385.03 = 170,116.02 : x
  2. Step 2: Convert to fraction form
    306,090.90/422,385.03 = 170,116.02/x
  3. Step 3: Cross multiply
    306,090.90x = 422,385.03 × 170,116.02
  4. Step 4: Simplify right side
    306,090.90x = 71,854,460,211.18
  5. Step 5: Solve for x
    x = 71,854,460,211.18/306,090.90
  6. Step 6: Final answer
    x = 234,748.76

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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.