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Finding the Fourth Proportional to 660,509,092.40, 990,763,638.60 and 200,446,523.60

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Solution

The fourth proportional to 660,509,092.40, 990,763,638.60 and 200,446,523.60 is: 300,669,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,509,092.40 : 990,763,638.60 = 200,446,523.60 : x
  2. Step 2: Convert to fraction form
    660,509,092.40/990,763,638.60 = 200,446,523.60/x
  3. Step 3: Cross multiply
    660,509,092.40x = 990,763,638.60 × 200,446,523.60
  4. Step 4: Simplify right side
    660,509,092.40x = 198,595,127,066,656,768
  5. Step 5: Solve for x
    x = 198,595,127,066,656,768/660,509,092.40
  6. Step 6: Final answer
    x = 300,669,785.40

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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.