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Finding the Fourth Proportional to 258,978,276.80, 388,405,207.20 and 149,566,846.40

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Solution

The fourth proportional to 258,978,276.80, 388,405,207.20 and 149,566,846.40 is: 224,314,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,978,276.80 : 388,405,207.20 = 149,566,846.40 : x
  2. Step 2: Convert to fraction form
    258,978,276.80/388,405,207.20 = 149,566,846.40/x
  3. Step 3: Cross multiply
    258,978,276.80x = 388,405,207.20 × 149,566,846.40
  4. Step 4: Simplify right side
    258,978,276.80x = 58,092,541,966,242,576
  5. Step 5: Solve for x
    x = 58,092,541,966,242,576/258,978,276.80
  6. Step 6: Final answer
    x = 224,314,342.82

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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.