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Finding the Fourth Proportional to 292,375.20, 438,344.10 and 159,405.60

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Solution

The fourth proportional to 292,375.20, 438,344.10 and 159,405.60 is: 238,989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,375.20 : 438,344.10 = 159,405.60 : x
  2. Step 2: Convert to fraction form
    292,375.20/438,344.10 = 159,405.60/x
  3. Step 3: Cross multiply
    292,375.20x = 438,344.10 × 159,405.60
  4. Step 4: Simplify right side
    292,375.20x = 69,874,504,266.96
  5. Step 5: Solve for x
    x = 69,874,504,266.96/292,375.20
  6. Step 6: Final answer
    x = 238,989.16

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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.