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Finding the Fourth Proportional to 385,145.67, 531,491.07 and 213,059.16

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Solution

The fourth proportional to 385,145.67, 531,491.07 and 213,059.16 is: 294,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,145.67 : 531,491.07 = 213,059.16 : x
  2. Step 2: Convert to fraction form
    385,145.67/531,491.07 = 213,059.16/x
  3. Step 3: Cross multiply
    385,145.67x = 531,491.07 × 213,059.16
  4. Step 4: Simplify right side
    385,145.67x = 113,239,040,921.70
  5. Step 5: Solve for x
    x = 113,239,040,921.70/385,145.67
  6. Step 6: Final answer
    x = 294,016.13

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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.