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Finding the Fourth Proportional to 339,998.64, 509,531.40 and 215,116.08

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Solution

The fourth proportional to 339,998.64, 509,531.40 and 215,116.08 is: 322,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,998.64 : 509,531.40 = 215,116.08 : x
  2. Step 2: Convert to fraction form
    339,998.64/509,531.40 = 215,116.08/x
  3. Step 3: Cross multiply
    339,998.64x = 509,531.40 × 215,116.08
  4. Step 4: Simplify right side
    339,998.64x = 109,608,397,404.91
  5. Step 5: Solve for x
    x = 109,608,397,404.91/339,998.64
  6. Step 6: Final answer
    x = 322,378.93

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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.