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Finding the Fourth Proportional to 305,335.89, 421,363.89 and 178,036.09

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Solution

The fourth proportional to 305,335.89, 421,363.89 and 178,036.09 is: 245,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,335.89 : 421,363.89 = 178,036.09 : x
  2. Step 2: Convert to fraction form
    305,335.89/421,363.89 = 178,036.09/x
  3. Step 3: Cross multiply
    305,335.89x = 421,363.89 × 178,036.09
  4. Step 4: Simplify right side
    305,335.89x = 75,017,978,389.38
  5. Step 5: Solve for x
    x = 75,017,978,389.38/305,335.89
  6. Step 6: Final answer
    x = 245,690.01

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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.