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Finding the Fourth Proportional to 469,148.60, 647,425.75 and 254,288.60

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Solution

The fourth proportional to 469,148.60, 647,425.75 and 254,288.60 is: 350,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,148.60 : 647,425.75 = 254,288.60 : x
  2. Step 2: Convert to fraction form
    469,148.60/647,425.75 = 254,288.60/x
  3. Step 3: Cross multiply
    469,148.60x = 647,425.75 × 254,288.60
  4. Step 4: Simplify right side
    469,148.60x = 164,632,987,571.45
  5. Step 5: Solve for x
    x = 164,632,987,571.45/469,148.60
  6. Step 6: Final answer
    x = 350,918.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.