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Finding the Fourth Proportional to 557,765.88, 769,433.61 and 364,286.95

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Solution

The fourth proportional to 557,765.88, 769,433.61 and 364,286.95 is: 502,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,765.88 : 769,433.61 = 364,286.95 : x
  2. Step 2: Convert to fraction form
    557,765.88/769,433.61 = 364,286.95/x
  3. Step 3: Cross multiply
    557,765.88x = 769,433.61 × 364,286.95
  4. Step 4: Simplify right side
    557,765.88x = 280,294,626,784.95
  5. Step 5: Solve for x
    x = 280,294,626,784.95/557,765.88
  6. Step 6: Final answer
    x = 502,530.96

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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.