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Finding the Fourth Proportional to 490,751,999.60, 736,127,999.40 and 145,758,873.20

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Solution

The fourth proportional to 490,751,999.60, 736,127,999.40 and 145,758,873.20 is: 218,638,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,751,999.60 : 736,127,999.40 = 145,758,873.20 : x
  2. Step 2: Convert to fraction form
    490,751,999.60/736,127,999.40 = 145,758,873.20/x
  3. Step 3: Cross multiply
    490,751,999.60x = 736,127,999.40 × 145,758,873.20
  4. Step 4: Simplify right side
    490,751,999.60x = 107,297,187,723,514,256
  5. Step 5: Solve for x
    x = 107,297,187,723,514,256/490,751,999.60
  6. Step 6: Final answer
    x = 218,638,309.80

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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.