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Finding the Fourth Proportional to 345,511.30, 476,784.61 and 190,455.80

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Solution

The fourth proportional to 345,511.30, 476,784.61 and 190,455.80 is: 262,817.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,511.30 : 476,784.61 = 190,455.80 : x
  2. Step 2: Convert to fraction form
    345,511.30/476,784.61 = 190,455.80/x
  3. Step 3: Cross multiply
    345,511.30x = 476,784.61 × 190,455.80
  4. Step 4: Simplify right side
    345,511.30x = 90,806,394,325.24
  5. Step 5: Solve for x
    x = 90,806,394,325.24/345,511.30
  6. Step 6: Final answer
    x = 262,817.44

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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.