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Finding the Fourth Proportional to 557,380.17, 769,188.69 and 302,731.43

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Solution

The fourth proportional to 557,380.17, 769,188.69 and 302,731.43 is: 417,771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,380.17 : 769,188.69 = 302,731.43 : x
  2. Step 2: Convert to fraction form
    557,380.17/769,188.69 = 302,731.43/x
  3. Step 3: Cross multiply
    557,380.17x = 769,188.69 × 302,731.43
  4. Step 4: Simplify right side
    557,380.17x = 232,857,588,217.58
  5. Step 5: Solve for x
    x = 232,857,588,217.58/557,380.17
  6. Step 6: Final answer
    x = 417,771.57

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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.