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Finding the Fourth Proportional to 305,718.75, 421,891.88 and 171,582.75

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Solution

The fourth proportional to 305,718.75, 421,891.88 and 171,582.75 is: 236,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,718.75 : 421,891.88 = 171,582.75 : x
  2. Step 2: Convert to fraction form
    305,718.75/421,891.88 = 171,582.75/x
  3. Step 3: Cross multiply
    305,718.75x = 421,891.88 × 171,582.75
  4. Step 4: Simplify right side
    305,718.75x = 72,389,368,115.16
  5. Step 5: Solve for x
    x = 72,389,368,115.16/305,718.75
  6. Step 6: Final answer
    x = 236,784.20

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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.