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Finding the Fourth Proportional to 692,239, 1,038,470.82 and 271,286.68

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Solution

The fourth proportional to 692,239, 1,038,470.82 and 271,286.68 is: 406,974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,239 : 1,038,470.82 = 271,286.68 : x
  2. Step 2: Convert to fraction form
    692,239/1,038,470.82 = 271,286.68/x
  3. Step 3: Cross multiply
    692,239x = 1,038,470.82 × 271,286.68
  4. Step 4: Simplify right side
    692,239x = 281,723,301,034.68
  5. Step 5: Solve for x
    x = 281,723,301,034.68/692,239
  6. Step 6: Final answer
    x = 406,974.04

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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.