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Finding the Fourth Proportional to 270,335,999.40, 405,503,999.10 and 68,616,191.40

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Solution

The fourth proportional to 270,335,999.40, 405,503,999.10 and 68,616,191.40 is: 102,924,287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,335,999.40 : 405,503,999.10 = 68,616,191.40 : x
  2. Step 2: Convert to fraction form
    270,335,999.40/405,503,999.10 = 68,616,191.40/x
  3. Step 3: Cross multiply
    270,335,999.40x = 405,503,999.10 × 68,616,191.40
  4. Step 4: Simplify right side
    270,335,999.40x = 27,824,140,015,711,032
  5. Step 5: Solve for x
    x = 27,824,140,015,711,032/270,335,999.40
  6. Step 6: Final answer
    x = 102,924,287.10

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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.