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Finding the Fourth Proportional to 312,868.94, 431,726.74 and 192,015.32

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Solution

The fourth proportional to 312,868.94, 431,726.74 and 192,015.32 is: 264,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,868.94 : 431,726.74 = 192,015.32 : x
  2. Step 2: Convert to fraction form
    312,868.94/431,726.74 = 192,015.32/x
  3. Step 3: Cross multiply
    312,868.94x = 431,726.74 × 192,015.32
  4. Step 4: Simplify right side
    312,868.94x = 82,898,148,133.66
  5. Step 5: Solve for x
    x = 82,898,148,133.66/312,868.94
  6. Step 6: Final answer
    x = 264,961.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.