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Finding the Fourth Proportional to 715,714.31, 987,687.81 and 409,795.40

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Solution

The fourth proportional to 715,714.31, 987,687.81 and 409,795.40 is: 565,518.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,714.31 : 987,687.81 = 409,795.40 : x
  2. Step 2: Convert to fraction form
    715,714.31/987,687.81 = 409,795.40/x
  3. Step 3: Cross multiply
    715,714.31x = 987,687.81 × 409,795.40
  4. Step 4: Simplify right side
    715,714.31x = 404,749,923,643.29
  5. Step 5: Solve for x
    x = 404,749,923,643.29/715,714.31
  6. Step 6: Final answer
    x = 565,518.83

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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.