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Finding the Fourth Proportional to 258,904.63, 388,415.76 and 79,006.14

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Solution

The fourth proportional to 258,904.63, 388,415.76 and 79,006.14 is: 118,527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,904.63 : 388,415.76 = 79,006.14 : x
  2. Step 2: Convert to fraction form
    258,904.63/388,415.76 = 79,006.14/x
  3. Step 3: Cross multiply
    258,904.63x = 388,415.76 × 79,006.14
  4. Step 4: Simplify right side
    258,904.63x = 30,687,229,912.77
  5. Step 5: Solve for x
    x = 30,687,229,912.77/258,904.63
  6. Step 6: Final answer
    x = 118,527.16

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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.