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Finding the Fourth Proportional to 468,863,999.40, 703,295,999.10 and 239,540,428.20

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Solution

The fourth proportional to 468,863,999.40, 703,295,999.10 and 239,540,428.20 is: 359,310,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,863,999.40 : 703,295,999.10 = 239,540,428.20 : x
  2. Step 2: Convert to fraction form
    468,863,999.40/703,295,999.10 = 239,540,428.20/x
  3. Step 3: Cross multiply
    468,863,999.40x = 703,295,999.10 × 239,540,428.20
  4. Step 4: Simplify right side
    468,863,999.40x = 168,467,824,775,760,800
  5. Step 5: Solve for x
    x = 168,467,824,775,760,800/468,863,999.40
  6. Step 6: Final answer
    x = 359,310,642.30

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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.