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Finding the Fourth Proportional to 484,876,576.80, 727,771,510.80 and 255,010,629.60

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Solution

The fourth proportional to 484,876,576.80, 727,771,510.80 and 255,010,629.60 is: 382,756,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,876,576.80 : 727,771,510.80 = 255,010,629.60 : x
  2. Step 2: Convert to fraction form
    484,876,576.80/727,771,510.80 = 255,010,629.60/x
  3. Step 3: Cross multiply
    484,876,576.80x = 727,771,510.80 × 255,010,629.60
  4. Step 4: Simplify right side
    484,876,576.80x = 185,589,471,174,051,168
  5. Step 5: Solve for x
    x = 185,589,471,174,051,168/484,876,576.80
  6. Step 6: Final answer
    x = 382,756,107.54

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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.