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Finding the Fourth Proportional to 397,613,999.80, 596,420,999.70 and 110,399,663.80

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Solution

The fourth proportional to 397,613,999.80, 596,420,999.70 and 110,399,663.80 is: 165,599,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,613,999.80 : 596,420,999.70 = 110,399,663.80 : x
  2. Step 2: Convert to fraction form
    397,613,999.80/596,420,999.70 = 110,399,663.80/x
  3. Step 3: Cross multiply
    397,613,999.80x = 596,420,999.70 × 110,399,663.80
  4. Step 4: Simplify right side
    397,613,999.80x = 65,844,677,850,139,904
  5. Step 5: Solve for x
    x = 65,844,677,850,139,904/397,613,999.80
  6. Step 6: Final answer
    x = 165,599,495.70

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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.