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Finding the Fourth Proportional to 298,374.36, 411,756.42 and 164,238.36

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Solution

The fourth proportional to 298,374.36, 411,756.42 and 164,238.36 is: 226,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,374.36 : 411,756.42 = 164,238.36 : x
  2. Step 2: Convert to fraction form
    298,374.36/411,756.42 = 164,238.36/x
  3. Step 3: Cross multiply
    298,374.36x = 411,756.42 × 164,238.36
  4. Step 4: Simplify right side
    298,374.36x = 67,626,199,140.27
  5. Step 5: Solve for x
    x = 67,626,199,140.27/298,374.36
  6. Step 6: Final answer
    x = 226,648.83

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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.