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Finding the Fourth Proportional to 339,713.19, 509,648.45 and 99,830.75

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Solution

The fourth proportional to 339,713.19, 509,648.45 and 99,830.75 is: 149,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,713.19 : 509,648.45 = 99,830.75 : x
  2. Step 2: Convert to fraction form
    339,713.19/509,648.45 = 99,830.75/x
  3. Step 3: Cross multiply
    339,713.19x = 509,648.45 × 99,830.75
  4. Step 4: Simplify right side
    339,713.19x = 50,878,583,952.44
  5. Step 5: Solve for x
    x = 50,878,583,952.44/339,713.19
  6. Step 6: Final answer
    x = 149,769.23

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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.