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Finding the Fourth Proportional to 403,603.37, 605,405.80 and 378,941.18

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Solution

The fourth proportional to 403,603.37, 605,405.80 and 378,941.18 is: 568,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,603.37 : 605,405.80 = 378,941.18 : x
  2. Step 2: Convert to fraction form
    403,603.37/605,405.80 = 378,941.18/x
  3. Step 3: Cross multiply
    403,603.37x = 605,405.80 × 378,941.18
  4. Step 4: Simplify right side
    403,603.37x = 229,413,187,947.76
  5. Step 5: Solve for x
    x = 229,413,187,947.76/403,603.37
  6. Step 6: Final answer
    x = 568,412.48

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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.