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Finding the Fourth Proportional to 489,641,997.80, 734,462,996.70 and 166,525,869.80

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Solution

The fourth proportional to 489,641,997.80, 734,462,996.70 and 166,525,869.80 is: 249,788,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,641,997.80 : 734,462,996.70 = 166,525,869.80 : x
  2. Step 2: Convert to fraction form
    489,641,997.80/734,462,996.70 = 166,525,869.80/x
  3. Step 3: Cross multiply
    489,641,997.80x = 734,462,996.70 × 166,525,869.80
  4. Step 4: Simplify right side
    489,641,997.80x = 122,307,089,361,382,048
  5. Step 5: Solve for x
    x = 122,307,089,361,382,048/489,641,997.80
  6. Step 6: Final answer
    x = 249,788,804.70

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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.