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Finding the Fourth Proportional to 680,509,709.80, 1,020,764,564.70 and 317,040,807.40

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Solution

The fourth proportional to 680,509,709.80, 1,020,764,564.70 and 317,040,807.40 is: 475,561,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,509,709.80 : 1,020,764,564.70 = 317,040,807.40 : x
  2. Step 2: Convert to fraction form
    680,509,709.80/1,020,764,564.70 = 317,040,807.40/x
  3. Step 3: Cross multiply
    680,509,709.80x = 1,020,764,564.70 × 317,040,807.40
  4. Step 4: Simplify right side
    680,509,709.80x = 323,624,021,757,797,504
  5. Step 5: Solve for x
    x = 323,624,021,757,797,504/680,509,709.80
  6. Step 6: Final answer
    x = 475,561,211.10

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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.