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Finding the Fourth Proportional to 490,638.36, 736,242.96 and 206,308.32

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Solution

The fourth proportional to 490,638.36, 736,242.96 and 206,308.32 is: 309,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,638.36 : 736,242.96 = 206,308.32 : x
  2. Step 2: Convert to fraction form
    490,638.36/736,242.96 = 206,308.32/x
  3. Step 3: Cross multiply
    490,638.36x = 736,242.96 × 206,308.32
  4. Step 4: Simplify right side
    490,638.36x = 151,893,048,189.43
  5. Step 5: Solve for x
    x = 151,893,048,189.43/490,638.36
  6. Step 6: Final answer
    x = 309,582.50

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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.