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Finding the Fourth Proportional to 258,718.70, 388,078.14 and 116,397.76

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Solution

The fourth proportional to 258,718.70, 388,078.14 and 116,397.76 is: 174,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,718.70 : 388,078.14 = 116,397.76 : x
  2. Step 2: Convert to fraction form
    258,718.70/388,078.14 = 116,397.76/x
  3. Step 3: Cross multiply
    258,718.70x = 388,078.14 × 116,397.76
  4. Step 4: Simplify right side
    258,718.70x = 45,171,426,200.97
  5. Step 5: Solve for x
    x = 45,171,426,200.97/258,718.70
  6. Step 6: Final answer
    x = 174,596.68

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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.