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Finding the Fourth Proportional to 295,714.38, 407,661 and 210,683.82

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Solution

The fourth proportional to 295,714.38, 407,661 and 210,683.82 is: 290,440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,714.38 : 407,661 = 210,683.82 : x
  2. Step 2: Convert to fraction form
    295,714.38/407,661 = 210,683.82/x
  3. Step 3: Cross multiply
    295,714.38x = 407,661 × 210,683.82
  4. Step 4: Simplify right side
    295,714.38x = 85,887,576,745.02
  5. Step 5: Solve for x
    x = 85,887,576,745.02/295,714.38
  6. Step 6: Final answer
    x = 290,440.99

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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.