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Finding the Fourth Proportional to 415,804.78, 623,176.89 and 202,623.58

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Solution

The fourth proportional to 415,804.78, 623,176.89 and 202,623.58 is: 303,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,804.78 : 623,176.89 = 202,623.58 : x
  2. Step 2: Convert to fraction form
    415,804.78/623,176.89 = 202,623.58/x
  3. Step 3: Cross multiply
    415,804.78x = 623,176.89 × 202,623.58
  4. Step 4: Simplify right side
    415,804.78x = 126,270,332,425.07
  5. Step 5: Solve for x
    x = 126,270,332,425.07/415,804.78
  6. Step 6: Final answer
    x = 303,676.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.