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Finding the Fourth Proportional to 403,710.15, 605,683.66 and 119,408.20

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Solution

The fourth proportional to 403,710.15, 605,683.66 and 119,408.20 is: 179,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,710.15 : 605,683.66 = 119,408.20 : x
  2. Step 2: Convert to fraction form
    403,710.15/605,683.66 = 119,408.20/x
  3. Step 3: Cross multiply
    403,710.15x = 605,683.66 × 119,408.20
  4. Step 4: Simplify right side
    403,710.15x = 72,323,597,092.31
  5. Step 5: Solve for x
    x = 72,323,597,092.31/403,710.15
  6. Step 6: Final answer
    x = 179,147.33

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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.