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Finding the Fourth Proportional to 282,676.78, 424,013.01 and 72,314.38

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Solution

The fourth proportional to 282,676.78, 424,013.01 and 72,314.38 is: 108,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,676.78 : 424,013.01 = 72,314.38 : x
  2. Step 2: Convert to fraction form
    282,676.78/424,013.01 = 72,314.38/x
  3. Step 3: Cross multiply
    282,676.78x = 424,013.01 × 72,314.38
  4. Step 4: Simplify right side
    282,676.78x = 30,662,237,930.08
  5. Step 5: Solve for x
    x = 30,662,237,930.08/282,676.78
  6. Step 6: Final answer
    x = 108,471.02

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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.