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Finding the Fourth Proportional to 385,455.57, 531,922.25 and 213,369.90

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Solution

The fourth proportional to 385,455.57, 531,922.25 and 213,369.90 is: 294,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,455.57 : 531,922.25 = 213,369.90 : x
  2. Step 2: Convert to fraction form
    385,455.57/531,922.25 = 213,369.90/x
  3. Step 3: Cross multiply
    385,455.57x = 531,922.25 × 213,369.90
  4. Step 4: Simplify right side
    385,455.57x = 113,496,195,228.89
  5. Step 5: Solve for x
    x = 113,496,195,228.89/385,455.57
  6. Step 6: Final answer
    x = 294,446.89

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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.