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Finding the Fourth Proportional to 200,809,978.40, 301,414,033.20 and 98,689,325.60

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Solution

The fourth proportional to 200,809,978.40, 301,414,033.20 and 98,689,325.60 is: 148,131,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,809,978.40 : 301,414,033.20 = 98,689,325.60 : x
  2. Step 2: Convert to fraction form
    200,809,978.40/301,414,033.20 = 98,689,325.60/x
  3. Step 3: Cross multiply
    200,809,978.40x = 301,414,033.20 × 98,689,325.60
  4. Step 4: Simplify right side
    200,809,978.40x = 29,746,347,662,884,008
  5. Step 5: Solve for x
    x = 29,746,347,662,884,008/200,809,978.40
  6. Step 6: Final answer
    x = 148,131,820.44

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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.