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Finding the Fourth Proportional to 298,457, 412,220.58 and 197,680.04

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Solution

The fourth proportional to 298,457, 412,220.58 and 197,680.04 is: 273,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,457 : 412,220.58 = 197,680.04 : x
  2. Step 2: Convert to fraction form
    298,457/412,220.58 = 197,680.04/x
  3. Step 3: Cross multiply
    298,457x = 412,220.58 × 197,680.04
  4. Step 4: Simplify right side
    298,457x = 81,487,780,743.22
  5. Step 5: Solve for x
    x = 81,487,780,743.22/298,457
  6. Step 6: Final answer
    x = 273,030.22

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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.