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Finding the Fourth Proportional to 513,973.94, 708,604.46 and 421,755.44

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Solution

The fourth proportional to 513,973.94, 708,604.46 and 421,755.44 is: 581,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,973.94 : 708,604.46 = 421,755.44 : x
  2. Step 2: Convert to fraction form
    513,973.94/708,604.46 = 421,755.44/x
  3. Step 3: Cross multiply
    513,973.94x = 708,604.46 × 421,755.44
  4. Step 4: Simplify right side
    513,973.94x = 298,857,785,813.26
  5. Step 5: Solve for x
    x = 298,857,785,813.26/513,973.94
  6. Step 6: Final answer
    x = 581,464.86

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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.