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Finding the Fourth Proportional to 511,797, 706,279.86 and 285,442.68

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Solution

The fourth proportional to 511,797, 706,279.86 and 285,442.68 is: 393,910.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,797 : 706,279.86 = 285,442.68 : x
  2. Step 2: Convert to fraction form
    511,797/706,279.86 = 285,442.68/x
  3. Step 3: Cross multiply
    511,797x = 706,279.86 × 285,442.68
  4. Step 4: Simplify right side
    511,797x = 201,602,416,068.43
  5. Step 5: Solve for x
    x = 201,602,416,068.43/511,797
  6. Step 6: Final answer
    x = 393,910.90

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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.