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Finding the Fourth Proportional to 489,720.20, 734,580.30 and 405,739.40

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Solution

The fourth proportional to 489,720.20, 734,580.30 and 405,739.40 is: 608,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,720.20 : 734,580.30 = 405,739.40 : x
  2. Step 2: Convert to fraction form
    489,720.20/734,580.30 = 405,739.40/x
  3. Step 3: Cross multiply
    489,720.20x = 734,580.30 × 405,739.40
  4. Step 4: Simplify right side
    489,720.20x = 298,048,170,173.82
  5. Step 5: Solve for x
    x = 298,048,170,173.82/489,720.20
  6. Step 6: Final answer
    x = 608,609.10

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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.