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Finding the Fourth Proportional to 853,017,804, 1,279,526,706 and 206,785,548

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Solution

The fourth proportional to 853,017,804, 1,279,526,706 and 206,785,548 is: 310,178,322

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,017,804 : 1,279,526,706 = 206,785,548 : x
  2. Step 2: Convert to fraction form
    853,017,804/1,279,526,706 = 206,785,548/x
  3. Step 3: Cross multiply
    853,017,804x = 1,279,526,706 × 206,785,548
  4. Step 4: Simplify right side
    853,017,804x = 264,587,631,080,844,896
  5. Step 5: Solve for x
    x = 264,587,631,080,844,896/853,017,804
  6. Step 6: Final answer
    x = 310,178,322

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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.