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Finding the Fourth Proportional to 306,415.45, 422,843.20 and 170,445.61

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Solution

The fourth proportional to 306,415.45, 422,843.20 and 170,445.61 is: 235,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,415.45 : 422,843.20 = 170,445.61 : x
  2. Step 2: Convert to fraction form
    306,415.45/422,843.20 = 170,445.61/x
  3. Step 3: Cross multiply
    306,415.45x = 422,843.20 × 170,445.61
  4. Step 4: Simplify right side
    306,415.45x = 72,071,767,158.35
  5. Step 5: Solve for x
    x = 72,071,767,158.35/306,415.45
  6. Step 6: Final answer
    x = 235,209.31

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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.