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Finding the Fourth Proportional to 298,034.33, 411,439.68 and 229,898.34

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Solution

The fourth proportional to 298,034.33, 411,439.68 and 229,898.34 is: 317,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,034.33 : 411,439.68 = 229,898.34 : x
  2. Step 2: Convert to fraction form
    298,034.33/411,439.68 = 229,898.34/x
  3. Step 3: Cross multiply
    298,034.33x = 411,439.68 × 229,898.34
  4. Step 4: Simplify right side
    298,034.33x = 94,589,299,442.13
  5. Step 5: Solve for x
    x = 94,589,299,442.13/298,034.33
  6. Step 6: Final answer
    x = 317,377.20

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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.