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Finding the Fourth Proportional to 1,978,746,004.80, 2,967,906,430.80 and 524,723,428.80

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Solution

The fourth proportional to 1,978,746,004.80, 2,967,906,430.80 and 524,723,428.80 is: 787,028,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978,746,004.80 : 2,967,906,430.80 = 524,723,428.80 : x
  2. Step 2: Convert to fraction form
    1,978,746,004.80/2,967,906,430.80 = 524,723,428.80/x
  3. Step 3: Cross multiply
    1,978,746,004.80x = 2,967,906,430.80 × 524,723,428.80
  4. Step 4: Simplify right side
    1,978,746,004.80x = 1,557,330,038,726,946,048
  5. Step 5: Solve for x
    x = 1,557,330,038,726,946,048/1,978,746,004.80
  6. Step 6: Final answer
    x = 787,028,772.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.