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Finding the Fourth Proportional to 389,352.78, 537,306.78 and 210,504.78

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Solution

The fourth proportional to 389,352.78, 537,306.78 and 210,504.78 is: 290,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,352.78 : 537,306.78 = 210,504.78 : x
  2. Step 2: Convert to fraction form
    389,352.78/537,306.78 = 210,504.78/x
  3. Step 3: Cross multiply
    389,352.78x = 537,306.78 × 210,504.78
  4. Step 4: Simplify right side
    389,352.78x = 113,105,645,516.41
  5. Step 5: Solve for x
    x = 113,105,645,516.41/389,352.78
  6. Step 6: Final answer
    x = 290,496.57

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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.