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Finding the Fourth Proportional to 1,761,816, 2,642,724 and 432,120

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Solution

The fourth proportional to 1,761,816, 2,642,724 and 432,120 is: 648,180

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761,816 : 2,642,724 = 432,120 : x
  2. Step 2: Convert to fraction form
    1,761,816/2,642,724 = 432,120/x
  3. Step 3: Cross multiply
    1,761,816x = 2,642,724 × 432,120
  4. Step 4: Simplify right side
    1,761,816x = 1,141,973,894,880
  5. Step 5: Solve for x
    x = 1,141,973,894,880/1,761,816
  6. Step 6: Final answer
    x = 648,180

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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.