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Finding the Fourth Proportional to 399,628, 599,428.20 and 100,111.20

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Solution

The fourth proportional to 399,628, 599,428.20 and 100,111.20 is: 150,163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,628 : 599,428.20 = 100,111.20 : x
  2. Step 2: Convert to fraction form
    399,628/599,428.20 = 100,111.20/x
  3. Step 3: Cross multiply
    399,628x = 599,428.20 × 100,111.20
  4. Step 4: Simplify right side
    399,628x = 60,009,476,415.84
  5. Step 5: Solve for x
    x = 60,009,476,415.84/399,628
  6. Step 6: Final answer
    x = 150,163.34

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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.