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Finding the Fourth Proportional to 305,531.80, 421,684.60 and 178,207.40

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Solution

The fourth proportional to 305,531.80, 421,684.60 and 178,207.40 is: 245,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,531.80 : 421,684.60 = 178,207.40 : x
  2. Step 2: Convert to fraction form
    305,531.80/421,684.60 = 178,207.40/x
  3. Step 3: Cross multiply
    305,531.80x = 421,684.60 × 178,207.40
  4. Step 4: Simplify right side
    305,531.80x = 75,147,316,186.04
  5. Step 5: Solve for x
    x = 75,147,316,186.04/305,531.80
  6. Step 6: Final answer
    x = 245,955.79

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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.