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Finding the Fourth Proportional to 1,638,144, 2,457,216 and 456,192

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Solution

The fourth proportional to 1,638,144, 2,457,216 and 456,192 is: 684,288

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,144 : 2,457,216 = 456,192 : x
  2. Step 2: Convert to fraction form
    1,638,144/2,457,216 = 456,192/x
  3. Step 3: Cross multiply
    1,638,144x = 2,457,216 × 456,192
  4. Step 4: Simplify right side
    1,638,144x = 1,120,962,281,472
  5. Step 5: Solve for x
    x = 1,120,962,281,472/1,638,144
  6. Step 6: Final answer
    x = 684,288

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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.