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Finding the Fourth Proportional to 286,576.78, 429,927.29 and 86,912.49

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Solution

The fourth proportional to 286,576.78, 429,927.29 and 86,912.49 is: 130,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,576.78 : 429,927.29 = 86,912.49 : x
  2. Step 2: Convert to fraction form
    286,576.78/429,927.29 = 86,912.49/x
  3. Step 3: Cross multiply
    286,576.78x = 429,927.29 × 86,912.49
  4. Step 4: Simplify right side
    286,576.78x = 37,366,050,858.29
  5. Step 5: Solve for x
    x = 37,366,050,858.29/286,576.78
  6. Step 6: Final answer
    x = 130,387.57

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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.