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Finding the Fourth Proportional to 657,198.80, 983,611.20 and 476,771.30

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Solution

The fourth proportional to 657,198.80, 983,611.20 and 476,771.30 is: 713,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,198.80 : 983,611.20 = 476,771.30 : x
  2. Step 2: Convert to fraction form
    657,198.80/983,611.20 = 476,771.30/x
  3. Step 3: Cross multiply
    657,198.80x = 983,611.20 × 476,771.30
  4. Step 4: Simplify right side
    657,198.80x = 468,957,590,518.56
  5. Step 5: Solve for x
    x = 468,957,590,518.56/657,198.80
  6. Step 6: Final answer
    x = 713,570.37

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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.