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Finding the Fourth Proportional to 298,769.09, 412,302.89 and 162,804.53

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Solution

The fourth proportional to 298,769.09, 412,302.89 and 162,804.53 is: 224,671.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,769.09 : 412,302.89 = 162,804.53 : x
  2. Step 2: Convert to fraction form
    298,769.09/412,302.89 = 162,804.53/x
  3. Step 3: Cross multiply
    298,769.09x = 412,302.89 × 162,804.53
  4. Step 4: Simplify right side
    298,769.09x = 67,124,777,410.07
  5. Step 5: Solve for x
    x = 67,124,777,410.07/298,769.09
  6. Step 6: Final answer
    x = 224,671.09

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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.