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Finding the Fourth Proportional to 290,438.20, 435,670.10 and 164,076.60

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Solution

The fourth proportional to 290,438.20, 435,670.10 and 164,076.60 is: 246,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,438.20 : 435,670.10 = 164,076.60 : x
  2. Step 2: Convert to fraction form
    290,438.20/435,670.10 = 164,076.60/x
  3. Step 3: Cross multiply
    290,438.20x = 435,670.10 × 164,076.60
  4. Step 4: Simplify right side
    290,438.20x = 71,483,268,729.66
  5. Step 5: Solve for x
    x = 71,483,268,729.66/290,438.20
  6. Step 6: Final answer
    x = 246,122.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.