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Finding the Fourth Proportional to 702,042,206.12, 968,848,698.49 and 388,776,420.12

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Solution

The fourth proportional to 702,042,206.12, 968,848,698.49 and 388,776,420.12 is: 536,528,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,042,206.12 : 968,848,698.49 = 388,776,420.12 : x
  2. Step 2: Convert to fraction form
    702,042,206.12/968,848,698.49 = 388,776,420.12/x
  3. Step 3: Cross multiply
    702,042,206.12x = 968,848,698.49 × 388,776,420.12
  4. Step 4: Simplify right side
    702,042,206.12x = 376,665,528,636,863,488
  5. Step 5: Solve for x
    x = 376,665,528,636,863,488/702,042,206.12
  6. Step 6: Final answer
    x = 536,528,324.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.