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Finding the Fourth Proportional to 921,879, 1,382,960.97 and 314,525.12

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Solution

The fourth proportional to 921,879, 1,382,960.97 and 314,525.12 is: 471,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,879 : 1,382,960.97 = 314,525.12 : x
  2. Step 2: Convert to fraction form
    921,879/1,382,960.97 = 314,525.12/x
  3. Step 3: Cross multiply
    921,879x = 1,382,960.97 × 314,525.12
  4. Step 4: Simplify right side
    921,879x = 434,975,958,129.76
  5. Step 5: Solve for x
    x = 434,975,958,129.76/921,879
  6. Step 6: Final answer
    x = 471,836.28

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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.