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Finding the Fourth Proportional to 298,802.67, 412,347.75 and 162,836.65

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Solution

The fourth proportional to 298,802.67, 412,347.75 and 162,836.65 is: 224,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,802.67 : 412,347.75 = 162,836.65 : x
  2. Step 2: Convert to fraction form
    298,802.67/412,347.75 = 162,836.65/x
  3. Step 3: Cross multiply
    298,802.67x = 412,347.75 × 162,836.65
  4. Step 4: Simplify right side
    298,802.67x = 67,145,326,245.04
  5. Step 5: Solve for x
    x = 67,145,326,245.04/298,802.67
  6. Step 6: Final answer
    x = 224,714.61

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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.