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Finding the Fourth Proportional to 645,014.15, 967,638 and 265,724.12

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Solution

The fourth proportional to 645,014.15, 967,638 and 265,724.12 is: 398,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,014.15 : 967,638 = 265,724.12 : x
  2. Step 2: Convert to fraction form
    645,014.15/967,638 = 265,724.12/x
  3. Step 3: Cross multiply
    645,014.15x = 967,638 × 265,724.12
  4. Step 4: Simplify right side
    645,014.15x = 257,124,751,190.37
  5. Step 5: Solve for x
    x = 257,124,751,190.37/645,014.15
  6. Step 6: Final answer
    x = 398,634.28

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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.