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Finding the Fourth Proportional to 212,858.40, 319,287.60 and 174,804.60

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Solution

The fourth proportional to 212,858.40, 319,287.60 and 174,804.60 is: 262,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,858.40 : 319,287.60 = 174,804.60 : x
  2. Step 2: Convert to fraction form
    212,858.40/319,287.60 = 174,804.60/x
  3. Step 3: Cross multiply
    212,858.40x = 319,287.60 × 174,804.60
  4. Step 4: Simplify right side
    212,858.40x = 55,812,941,202.96
  5. Step 5: Solve for x
    x = 55,812,941,202.96/212,858.40
  6. Step 6: Final answer
    x = 262,206.90

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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.