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Finding the Fourth Proportional to 298,077.56, 411,343.06 and 162,108.59

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Solution

The fourth proportional to 298,077.56, 411,343.06 and 162,108.59 is: 223,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,077.56 : 411,343.06 = 162,108.59 : x
  2. Step 2: Convert to fraction form
    298,077.56/411,343.06 = 162,108.59/x
  3. Step 3: Cross multiply
    298,077.56x = 411,343.06 × 162,108.59
  4. Step 4: Simplify right side
    298,077.56x = 66,682,241,000.90
  5. Step 5: Solve for x
    x = 66,682,241,000.90/298,077.56
  6. Step 6: Final answer
    x = 223,707.68

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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.