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Finding the Fourth Proportional to 298,355.57, 411,739.41 and 162,398.29

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Solution

The fourth proportional to 298,355.57, 411,739.41 and 162,398.29 is: 224,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,355.57 : 411,739.41 = 162,398.29 : x
  2. Step 2: Convert to fraction form
    298,355.57/411,739.41 = 162,398.29/x
  3. Step 3: Cross multiply
    298,355.57x = 411,739.41 × 162,398.29
  4. Step 4: Simplify right side
    298,355.57x = 66,865,776,109.61
  5. Step 5: Solve for x
    x = 66,865,776,109.61/298,355.57
  6. Step 6: Final answer
    x = 224,114.39

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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.