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Finding the Fourth Proportional to 489,745.20, 734,617.80 and 405,764.40

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Solution

The fourth proportional to 489,745.20, 734,617.80 and 405,764.40 is: 608,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,745.20 : 734,617.80 = 405,764.40 : x
  2. Step 2: Convert to fraction form
    489,745.20/734,617.80 = 405,764.40/x
  3. Step 3: Cross multiply
    489,745.20x = 734,617.80 × 405,764.40
  4. Step 4: Simplify right side
    489,745.20x = 298,081,750,846.32
  5. Step 5: Solve for x
    x = 298,081,750,846.32/489,745.20
  6. Step 6: Final answer
    x = 608,646.60

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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.