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Finding the Fourth Proportional to 1,296,000, 1,788,480 and 759,456

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Solution

The fourth proportional to 1,296,000, 1,788,480 and 759,456 is: 1,048,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,000 : 1,788,480 = 759,456 : x
  2. Step 2: Convert to fraction form
    1,296,000/1,788,480 = 759,456/x
  3. Step 3: Cross multiply
    1,296,000x = 1,788,480 × 759,456
  4. Step 4: Simplify right side
    1,296,000x = 1,358,271,866,880
  5. Step 5: Solve for x
    x = 1,358,271,866,880/1,296,000
  6. Step 6: Final answer
    x = 1,048,049.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.