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Finding the Fourth Proportional to 298,308.60, 411,665.90 and 164,172.60

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Solution

The fourth proportional to 298,308.60, 411,665.90 and 164,172.60 is: 226,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,308.60 : 411,665.90 = 164,172.60 : x
  2. Step 2: Convert to fraction form
    298,308.60/411,665.90 = 164,172.60/x
  3. Step 3: Cross multiply
    298,308.60x = 411,665.90 × 164,172.60
  4. Step 4: Simplify right side
    298,308.60x = 67,584,261,134.34
  5. Step 5: Solve for x
    x = 67,584,261,134.34/298,308.60
  6. Step 6: Final answer
    x = 226,558.21

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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.