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Finding the Fourth Proportional to 286,009.43, 428,942.16 and 117,576.72

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Solution

The fourth proportional to 286,009.43, 428,942.16 and 117,576.72 is: 176,335.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,009.43 : 428,942.16 = 117,576.72 : x
  2. Step 2: Convert to fraction form
    286,009.43/428,942.16 = 117,576.72/x
  3. Step 3: Cross multiply
    286,009.43x = 428,942.16 × 117,576.72
  4. Step 4: Simplify right side
    286,009.43x = 50,433,612,242.52
  5. Step 5: Solve for x
    x = 50,433,612,242.52/286,009.43
  6. Step 6: Final answer
    x = 176,335.49

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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.