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Finding the Fourth Proportional to 306,285.96, 422,654.63 and 170,314.86

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Solution

The fourth proportional to 306,285.96, 422,654.63 and 170,314.86 is: 235,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,285.96 : 422,654.63 = 170,314.86 : x
  2. Step 2: Convert to fraction form
    306,285.96/422,654.63 = 170,314.86/x
  3. Step 3: Cross multiply
    306,285.96x = 422,654.63 × 170,314.86
  4. Step 4: Simplify right side
    306,285.96x = 71,984,362,492.75
  5. Step 5: Solve for x
    x = 71,984,362,492.75/306,285.96
  6. Step 6: Final answer
    x = 235,023.38

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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.