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Finding the Fourth Proportional to 298,076.57, 411,341.70 and 162,107.60

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Solution

The fourth proportional to 298,076.57, 411,341.70 and 162,107.60 is: 223,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,076.57 : 411,341.70 = 162,107.60 : x
  2. Step 2: Convert to fraction form
    298,076.57/411,341.70 = 162,107.60/x
  3. Step 3: Cross multiply
    298,076.57x = 411,341.70 × 162,107.60
  4. Step 4: Simplify right side
    298,076.57x = 66,681,613,406.26
  5. Step 5: Solve for x
    x = 66,681,613,406.26/298,076.57
  6. Step 6: Final answer
    x = 223,706.32

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1.5x scale

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.