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Finding the Fourth Proportional to 657,494.20, 986,168.40 and 538,958.80

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Solution

The fourth proportional to 657,494.20, 986,168.40 and 538,958.80 is: 808,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,494.20 : 986,168.40 = 538,958.80 : x
  2. Step 2: Convert to fraction form
    657,494.20/986,168.40 = 538,958.80/x
  3. Step 3: Cross multiply
    657,494.20x = 986,168.40 × 538,958.80
  4. Step 4: Simplify right side
    657,494.20x = 531,504,137,461.92
  5. Step 5: Solve for x
    x = 531,504,137,461.92/657,494.20
  6. Step 6: Final answer
    x = 808,378.44

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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.