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Finding the Fourth Proportional to 385,511.92, 531,959.47 and 213,416.89

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Solution

The fourth proportional to 385,511.92, 531,959.47 and 213,416.89 is: 294,489.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,511.92 : 531,959.47 = 213,416.89 : x
  2. Step 2: Convert to fraction form
    385,511.92/531,959.47 = 213,416.89/x
  3. Step 3: Cross multiply
    385,511.92x = 531,959.47 × 213,416.89
  4. Step 4: Simplify right side
    385,511.92x = 113,529,135,693.45
  5. Step 5: Solve for x
    x = 113,529,135,693.45/385,511.92
  6. Step 6: Final answer
    x = 294,489.30

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1.5x scale

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.