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Finding the Fourth Proportional to 650,144.36, 975,409.74 and 313,087.58

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Solution

The fourth proportional to 650,144.36, 975,409.74 and 313,087.58 is: 469,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,144.36 : 975,409.74 = 313,087.58 : x
  2. Step 2: Convert to fraction form
    650,144.36/975,409.74 = 313,087.58/x
  3. Step 3: Cross multiply
    650,144.36x = 975,409.74 × 313,087.58
  4. Step 4: Simplify right side
    650,144.36x = 305,388,675,005.03
  5. Step 5: Solve for x
    x = 305,388,675,005.03/650,144.36
  6. Step 6: Final answer
    x = 469,724.41

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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.