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Finding the Fourth Proportional to 385,466.46, 578,238.39 and 132,713.49

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Solution

The fourth proportional to 385,466.46, 578,238.39 and 132,713.49 is: 199,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,466.46 : 578,238.39 = 132,713.49 : x
  2. Step 2: Convert to fraction form
    385,466.46/578,238.39 = 132,713.49/x
  3. Step 3: Cross multiply
    385,466.46x = 578,238.39 × 132,713.49
  4. Step 4: Simplify right side
    385,466.46x = 76,740,034,788.88
  5. Step 5: Solve for x
    x = 76,740,034,788.88/385,466.46
  6. Step 6: Final answer
    x = 199,083.56

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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.