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Finding the Fourth Proportional to 513,800.76, 770,774.96 and 158,842.48

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Solution

The fourth proportional to 513,800.76, 770,774.96 and 158,842.48 is: 238,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,800.76 : 770,774.96 = 158,842.48 : x
  2. Step 2: Convert to fraction form
    513,800.76/770,774.96 = 158,842.48/x
  3. Step 3: Cross multiply
    513,800.76x = 770,774.96 × 158,842.48
  4. Step 4: Simplify right side
    513,800.76x = 122,431,806,168.30
  5. Step 5: Solve for x
    x = 122,431,806,168.30/513,800.76
  6. Step 6: Final answer
    x = 238,286.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.