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Finding the Fourth Proportional to 218,698.40, 328,047.60 and 70,954.40

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Solution

The fourth proportional to 218,698.40, 328,047.60 and 70,954.40 is: 106,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,698.40 : 328,047.60 = 70,954.40 : x
  2. Step 2: Convert to fraction form
    218,698.40/328,047.60 = 70,954.40/x
  3. Step 3: Cross multiply
    218,698.40x = 328,047.60 × 70,954.40
  4. Step 4: Simplify right side
    218,698.40x = 23,276,420,629.44
  5. Step 5: Solve for x
    x = 23,276,420,629.44/218,698.40
  6. Step 6: Final answer
    x = 106,431.60

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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.