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Finding the Fourth Proportional to 538,903.80, 806,973.30 and 514,020.60

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Solution

The fourth proportional to 538,903.80, 806,973.30 and 514,020.60 is: 769,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,903.80 : 806,973.30 = 514,020.60 : x
  2. Step 2: Convert to fraction form
    538,903.80/806,973.30 = 514,020.60/x
  3. Step 3: Cross multiply
    538,903.80x = 806,973.30 × 514,020.60
  4. Step 4: Simplify right side
    538,903.80x = 414,800,899,849.98
  5. Step 5: Solve for x
    x = 414,800,899,849.98/538,903.80
  6. Step 6: Final answer
    x = 769,712.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.