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Finding the Fourth Proportional to 298,077.21, 411,349.53 and 162,114.27

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Solution

The fourth proportional to 298,077.21, 411,349.53 and 162,114.27 is: 223,719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,077.21 : 411,349.53 = 162,114.27 : x
  2. Step 2: Convert to fraction form
    298,077.21/411,349.53 = 162,114.27/x
  3. Step 3: Cross multiply
    298,077.21x = 411,349.53 × 162,114.27
  4. Step 4: Simplify right side
    298,077.21x = 66,685,628,770.79
  5. Step 5: Solve for x
    x = 66,685,628,770.79/298,077.21
  6. Step 6: Final answer
    x = 223,719.31

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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.