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Finding the Fourth Proportional to 306,376.38, 422,793.34 and 170,407.40

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Solution

The fourth proportional to 306,376.38, 422,793.34 and 170,407.40 is: 235,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,376.38 : 422,793.34 = 170,407.40 : x
  2. Step 2: Convert to fraction form
    306,376.38/422,793.34 = 170,407.40/x
  3. Step 3: Cross multiply
    306,376.38x = 422,793.34 × 170,407.40
  4. Step 4: Simplify right side
    306,376.38x = 72,047,113,806.72
  5. Step 5: Solve for x
    x = 72,047,113,806.72/306,376.38
  6. Step 6: Final answer
    x = 235,158.84

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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.