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Finding the Fourth Proportional to 306,063.60, 422,354.16 and 170,107.08

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Solution

The fourth proportional to 306,063.60, 422,354.16 and 170,107.08 is: 234,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,063.60 : 422,354.16 = 170,107.08 : x
  2. Step 2: Convert to fraction form
    306,063.60/422,354.16 = 170,107.08/x
  3. Step 3: Cross multiply
    306,063.60x = 422,354.16 × 170,107.08
  4. Step 4: Simplify right side
    306,063.60x = 71,845,432,883.45
  5. Step 5: Solve for x
    x = 71,845,432,883.45/306,063.60
  6. Step 6: Final answer
    x = 234,740.21

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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.