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Finding the Fourth Proportional to 258,783.96, 388,175.70 and 116,462.88

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Solution

The fourth proportional to 258,783.96, 388,175.70 and 116,462.88 is: 174,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,783.96 : 388,175.70 = 116,462.88 : x
  2. Step 2: Convert to fraction form
    258,783.96/388,175.70 = 116,462.88/x
  3. Step 3: Cross multiply
    258,783.96x = 388,175.70 × 116,462.88
  4. Step 4: Simplify right side
    258,783.96x = 45,208,059,968.02
  5. Step 5: Solve for x
    x = 45,208,059,968.02/258,783.96
  6. Step 6: Final answer
    x = 174,694.21

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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.