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Finding the Fourth Proportional to 557,342.52, 769,107.78 and 315,619.98

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Solution

The fourth proportional to 557,342.52, 769,107.78 and 315,619.98 is: 435,541.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,342.52 : 769,107.78 = 315,619.98 : x
  2. Step 2: Convert to fraction form
    557,342.52/769,107.78 = 315,619.98/x
  3. Step 3: Cross multiply
    557,342.52x = 769,107.78 × 315,619.98
  4. Step 4: Simplify right side
    557,342.52x = 242,745,782,141.44
  5. Step 5: Solve for x
    x = 242,745,782,141.44/557,342.52
  6. Step 6: Final answer
    x = 435,541.47

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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.