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Finding the Fourth Proportional to 258,860.94, 388,430.94 and 109,204.98

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Solution

The fourth proportional to 258,860.94, 388,430.94 and 109,204.98 is: 163,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,860.94 : 388,430.94 = 109,204.98 : x
  2. Step 2: Convert to fraction form
    258,860.94/388,430.94 = 109,204.98/x
  3. Step 3: Cross multiply
    258,860.94x = 388,430.94 × 109,204.98
  4. Step 4: Simplify right side
    258,860.94x = 42,418,593,034.08
  5. Step 5: Solve for x
    x = 42,418,593,034.08/258,860.94
  6. Step 6: Final answer
    x = 163,866.33

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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.