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Finding the Fourth Proportional to 385,486.56, 578,404.80 and 228,022.56

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Solution

The fourth proportional to 385,486.56, 578,404.80 and 228,022.56 is: 342,137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,486.56 : 578,404.80 = 228,022.56 : x
  2. Step 2: Convert to fraction form
    385,486.56/578,404.80 = 228,022.56/x
  3. Step 3: Cross multiply
    385,486.56x = 578,404.80 × 228,022.56
  4. Step 4: Simplify right side
    385,486.56x = 131,889,343,212.29
  5. Step 5: Solve for x
    x = 131,889,343,212.29/385,486.56
  6. Step 6: Final answer
    x = 342,137.33

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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.