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Finding the Fourth Proportional to 385,281.97, 531,689.62 and 213,207.14

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Solution

The fourth proportional to 385,281.97, 531,689.62 and 213,207.14 is: 294,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,281.97 : 531,689.62 = 213,207.14 : x
  2. Step 2: Convert to fraction form
    385,281.97/531,689.62 = 213,207.14/x
  3. Step 3: Cross multiply
    385,281.97x = 531,689.62 × 213,207.14
  4. Step 4: Simplify right side
    385,281.97x = 113,360,021,453.10
  5. Step 5: Solve for x
    x = 113,360,021,453.10/385,281.97
  6. Step 6: Final answer
    x = 294,226.13

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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.