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Finding the Fourth Proportional to 298,077.81, 411,343.40 and 162,108.83

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Solution

The fourth proportional to 298,077.81, 411,343.40 and 162,108.83 is: 223,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,077.81 : 411,343.40 = 162,108.83 : x
  2. Step 2: Convert to fraction form
    298,077.81/411,343.40 = 162,108.83/x
  3. Step 3: Cross multiply
    298,077.81x = 411,343.40 × 162,108.83
  4. Step 4: Simplify right side
    298,077.81x = 66,682,397,302.22
  5. Step 5: Solve for x
    x = 66,682,397,302.22/298,077.81
  6. Step 6: Final answer
    x = 223,708.02

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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.