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Finding the Fourth Proportional to 537,893.06, 742,391.97 and 311,538.50

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Solution

The fourth proportional to 537,893.06, 742,391.97 and 311,538.50 is: 429,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,893.06 : 742,391.97 = 311,538.50 : x
  2. Step 2: Convert to fraction form
    537,893.06/742,391.97 = 311,538.50/x
  3. Step 3: Cross multiply
    537,893.06x = 742,391.97 × 311,538.50
  4. Step 4: Simplify right side
    537,893.06x = 231,283,680,745.85
  5. Step 5: Solve for x
    x = 231,283,680,745.85/537,893.06
  6. Step 6: Final answer
    x = 429,980.79

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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.