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Finding the Fourth Proportional to 419,478.80, 628,969.32 and 166,623.32

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Solution

The fourth proportional to 419,478.80, 628,969.32 and 166,623.32 is: 249,836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,478.80 : 628,969.32 = 166,623.32 : x
  2. Step 2: Convert to fraction form
    419,478.80/628,969.32 = 166,623.32/x
  3. Step 3: Cross multiply
    419,478.80x = 628,969.32 × 166,623.32
  4. Step 4: Simplify right side
    419,478.80x = 104,800,956,276.54
  5. Step 5: Solve for x
    x = 104,800,956,276.54/419,478.80
  6. Step 6: Final answer
    x = 249,836.12

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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.