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Finding the Fourth Proportional to 305,678.43, 421,741.49 and 178,263.81

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Solution

The fourth proportional to 305,678.43, 421,741.49 and 178,263.81 is: 245,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,678.43 : 421,741.49 = 178,263.81 : x
  2. Step 2: Convert to fraction form
    305,678.43/421,741.49 = 178,263.81/x
  3. Step 3: Cross multiply
    305,678.43x = 421,741.49 × 178,263.81
  4. Step 4: Simplify right side
    305,678.43x = 75,181,243,951.16
  5. Step 5: Solve for x
    x = 75,181,243,951.16/305,678.43
  6. Step 6: Final answer
    x = 245,948.80

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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.