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Finding the Fourth Proportional to 305,074.94, 421,018.90 and 175,965.38

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Solution

The fourth proportional to 305,074.94, 421,018.90 and 175,965.38 is: 242,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,074.94 : 421,018.90 = 175,965.38 : x
  2. Step 2: Convert to fraction form
    305,074.94/421,018.90 = 175,965.38/x
  3. Step 3: Cross multiply
    305,074.94x = 421,018.90 × 175,965.38
  4. Step 4: Simplify right side
    305,074.94x = 74,084,750,725.68
  5. Step 5: Solve for x
    x = 74,084,750,725.68/305,074.94
  6. Step 6: Final answer
    x = 242,841.15

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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.