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Finding the Fourth Proportional to 1,382,880, 2,074,320 and 448,992

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Solution

The fourth proportional to 1,382,880, 2,074,320 and 448,992 is: 673,488

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,880 : 2,074,320 = 448,992 : x
  2. Step 2: Convert to fraction form
    1,382,880/2,074,320 = 448,992/x
  3. Step 3: Cross multiply
    1,382,880x = 2,074,320 × 448,992
  4. Step 4: Simplify right side
    1,382,880x = 931,353,085,440
  5. Step 5: Solve for x
    x = 931,353,085,440/1,382,880
  6. Step 6: Final answer
    x = 673,488

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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.