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Finding the Fourth Proportional to 537,894.56, 742,394.04 and 311,540

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Solution

The fourth proportional to 537,894.56, 742,394.04 and 311,540 is: 429,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,894.56 : 742,394.04 = 311,540 : x
  2. Step 2: Convert to fraction form
    537,894.56/742,394.04 = 311,540/x
  3. Step 3: Cross multiply
    537,894.56x = 742,394.04 × 311,540
  4. Step 4: Simplify right side
    537,894.56x = 231,285,439,221.60
  5. Step 5: Solve for x
    x = 231,285,439,221.60/537,894.56
  6. Step 6: Final answer
    x = 429,982.86

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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.