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Finding the Fourth Proportional to 260,372.34, 390,554.43 and 82,876.77

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Solution

The fourth proportional to 260,372.34, 390,554.43 and 82,876.77 is: 124,313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,372.34 : 390,554.43 = 82,876.77 : x
  2. Step 2: Convert to fraction form
    260,372.34/390,554.43 = 82,876.77/x
  3. Step 3: Cross multiply
    260,372.34x = 390,554.43 × 82,876.77
  4. Step 4: Simplify right side
    260,372.34x = 32,367,889,356.80
  5. Step 5: Solve for x
    x = 32,367,889,356.80/260,372.34
  6. Step 6: Final answer
    x = 124,313.86

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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.