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Finding the Fourth Proportional to 1,407,978.34, 1,942,992.03 and 763,396.54

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Solution

The fourth proportional to 1,407,978.34, 1,942,992.03 and 763,396.54 is: 1,053,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,978.34 : 1,942,992.03 = 763,396.54 : x
  2. Step 2: Convert to fraction form
    1,407,978.34/1,942,992.03 = 763,396.54/x
  3. Step 3: Cross multiply
    1,407,978.34x = 1,942,992.03 × 763,396.54
  4. Step 4: Simplify right side
    1,407,978.34x = 1,483,273,392,949.58
  5. Step 5: Solve for x
    x = 1,483,273,392,949.58/1,407,978.34
  6. Step 6: Final answer
    x = 1,053,477.42

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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.