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Finding the Fourth Proportional to 557,540.39, 769,411.14 and 302,893.40

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Solution

The fourth proportional to 557,540.39, 769,411.14 and 302,893.40 is: 417,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,540.39 : 769,411.14 = 302,893.40 : x
  2. Step 2: Convert to fraction form
    557,540.39/769,411.14 = 302,893.40/x
  3. Step 3: Cross multiply
    557,540.39x = 769,411.14 × 302,893.40
  4. Step 4: Simplify right side
    557,540.39x = 233,049,556,980.15
  5. Step 5: Solve for x
    x = 233,049,556,980.15/557,540.39
  6. Step 6: Final answer
    x = 417,995.83

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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.