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Finding the Fourth Proportional to 2,642,724, 3,964,086 and 648,180

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Solution

The fourth proportional to 2,642,724, 3,964,086 and 648,180 is: 972,270

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642,724 : 3,964,086 = 648,180 : x
  2. Step 2: Convert to fraction form
    2,642,724/3,964,086 = 648,180/x
  3. Step 3: Cross multiply
    2,642,724x = 3,964,086 × 648,180
  4. Step 4: Simplify right side
    2,642,724x = 2,569,441,263,480
  5. Step 5: Solve for x
    x = 2,569,441,263,480/2,642,724
  6. Step 6: Final answer
    x = 972,270

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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.