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Finding the Fourth Proportional to 264,858.40, 397,287.60 and 87,322.60

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Solution

The fourth proportional to 264,858.40, 397,287.60 and 87,322.60 is: 130,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,858.40 : 397,287.60 = 87,322.60 : x
  2. Step 2: Convert to fraction form
    264,858.40/397,287.60 = 87,322.60/x
  3. Step 3: Cross multiply
    264,858.40x = 397,287.60 × 87,322.60
  4. Step 4: Simplify right side
    264,858.40x = 34,692,186,179.76
  5. Step 5: Solve for x
    x = 34,692,186,179.76/264,858.40
  6. Step 6: Final answer
    x = 130,983.90

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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.