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Finding the Fourth Proportional to 258,722.65, 388,084.07 and 116,401.69

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Solution

The fourth proportional to 258,722.65, 388,084.07 and 116,401.69 is: 174,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,722.65 : 388,084.07 = 116,401.69 : x
  2. Step 2: Convert to fraction form
    258,722.65/388,084.07 = 116,401.69/x
  3. Step 3: Cross multiply
    258,722.65x = 388,084.07 × 116,401.69
  4. Step 4: Simplify right side
    258,722.65x = 45,173,641,610.08
  5. Step 5: Solve for x
    x = 45,173,641,610.08/258,722.65
  6. Step 6: Final answer
    x = 174,602.58

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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.