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Finding the Fourth Proportional to 298,599.42, 412,072.11 and 162,636

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Solution

The fourth proportional to 298,599.42, 412,072.11 and 162,636 is: 224,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,599.42 : 412,072.11 = 162,636 : x
  2. Step 2: Convert to fraction form
    298,599.42/412,072.11 = 162,636/x
  3. Step 3: Cross multiply
    298,599.42x = 412,072.11 × 162,636
  4. Step 4: Simplify right side
    298,599.42x = 67,017,759,681.96
  5. Step 5: Solve for x
    x = 67,017,759,681.96/298,599.42
  6. Step 6: Final answer
    x = 224,440.35

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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.