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Finding the Fourth Proportional to 403,710.25, 605,683.80 and 119,408.30

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Solution

The fourth proportional to 403,710.25, 605,683.80 and 119,408.30 is: 179,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,710.25 : 605,683.80 = 119,408.30 : x
  2. Step 2: Convert to fraction form
    403,710.25/605,683.80 = 119,408.30/x
  3. Step 3: Cross multiply
    403,710.25x = 605,683.80 × 119,408.30
  4. Step 4: Simplify right side
    403,710.25x = 72,323,671,690.65
  5. Step 5: Solve for x
    x = 72,323,671,690.65/403,710.25
  6. Step 6: Final answer
    x = 179,147.48

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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.