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Finding the Fourth Proportional to 339,876.84, 509,782.23 and 103,221.60

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Solution

The fourth proportional to 339,876.84, 509,782.23 and 103,221.60 is: 154,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,876.84 : 509,782.23 = 103,221.60 : x
  2. Step 2: Convert to fraction form
    339,876.84/509,782.23 = 103,221.60/x
  3. Step 3: Cross multiply
    339,876.84x = 509,782.23 × 103,221.60
  4. Step 4: Simplify right side
    339,876.84x = 52,620,537,432.17
  5. Step 5: Solve for x
    x = 52,620,537,432.17/339,876.84
  6. Step 6: Final answer
    x = 154,822.37

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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.