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Finding the Fourth Proportional to 550,008, 758,435.36 and 407,067.84

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Solution

The fourth proportional to 550,008, 758,435.36 and 407,067.84 is: 561,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,008 : 758,435.36 = 407,067.84 : x
  2. Step 2: Convert to fraction form
    550,008/758,435.36 = 407,067.84/x
  3. Step 3: Cross multiply
    550,008x = 758,435.36 × 407,067.84
  4. Step 4: Simplify right side
    550,008x = 308,734,643,774.82
  5. Step 5: Solve for x
    x = 308,734,643,774.82/550,008
  6. Step 6: Final answer
    x = 561,327.55

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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.