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Finding the Fourth Proportional to 1,296,082,375, 1,788,023,705.70 and 759,960,388.36

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Solution

The fourth proportional to 1,296,082,375, 1,788,023,705.70 and 759,960,388.36 is: 1,048,411,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,082,375 : 1,788,023,705.70 = 759,960,388.36 : x
  2. Step 2: Convert to fraction form
    1,296,082,375/1,788,023,705.70 = 759,960,388.36/x
  3. Step 3: Cross multiply
    1,296,082,375x = 1,788,023,705.70 × 759,960,388.36
  4. Step 4: Simplify right side
    1,296,082,375x = 1,358,827,189,780,658,432
  5. Step 5: Solve for x
    x = 1,358,827,189,780,658,432/1,296,082,375
  6. Step 6: Final answer
    x = 1,048,411,131.88

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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.