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Finding the Fourth Proportional to 258,978,132.80, 388,404,991.20 and 149,566,702.40

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Solution

The fourth proportional to 258,978,132.80, 388,404,991.20 and 149,566,702.40 is: 224,314,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,978,132.80 : 388,404,991.20 = 149,566,702.40 : x
  2. Step 2: Convert to fraction form
    258,978,132.80/388,404,991.20 = 149,566,702.40/x
  3. Step 3: Cross multiply
    258,978,132.80x = 388,404,991.20 × 149,566,702.40
  4. Step 4: Simplify right side
    258,978,132.80x = 58,092,453,729,485,016
  5. Step 5: Solve for x
    x = 58,092,453,729,485,016/258,978,132.80
  6. Step 6: Final answer
    x = 224,314,126.84

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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.