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Finding the Fourth Proportional to 298,512.90, 411,632.10 and 230,540.94

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Solution

The fourth proportional to 298,512.90, 411,632.10 and 230,540.94 is: 317,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,512.90 : 411,632.10 = 230,540.94 : x
  2. Step 2: Convert to fraction form
    298,512.90/411,632.10 = 230,540.94/x
  3. Step 3: Cross multiply
    298,512.90x = 411,632.10 × 230,540.94
  4. Step 4: Simplify right side
    298,512.90x = 94,898,051,268.17
  5. Step 5: Solve for x
    x = 94,898,051,268.17/298,512.90
  6. Step 6: Final answer
    x = 317,902.68

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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.