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Finding the Fourth Proportional to 339,240.80, 509,363.40 and 189,779.60

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Solution

The fourth proportional to 339,240.80, 509,363.40 and 189,779.60 is: 284,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,240.80 : 509,363.40 = 189,779.60 : x
  2. Step 2: Convert to fraction form
    339,240.80/509,363.40 = 189,779.60/x
  3. Step 3: Cross multiply
    339,240.80x = 509,363.40 × 189,779.60
  4. Step 4: Simplify right side
    339,240.80x = 96,666,782,306.64
  5. Step 5: Solve for x
    x = 96,666,782,306.64/339,240.80
  6. Step 6: Final answer
    x = 284,950.34

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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.