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Finding the Fourth Proportional to 343,972.88, 515,920.40 and 119,291.84

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Solution

The fourth proportional to 343,972.88, 515,920.40 and 119,291.84 is: 178,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,972.88 : 515,920.40 = 119,291.84 : x
  2. Step 2: Convert to fraction form
    343,972.88/515,920.40 = 119,291.84/x
  3. Step 3: Cross multiply
    343,972.88x = 515,920.40 × 119,291.84
  4. Step 4: Simplify right side
    343,972.88x = 61,545,093,809.54
  5. Step 5: Solve for x
    x = 61,545,093,809.54/343,972.88
  6. Step 6: Final answer
    x = 178,924.26

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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.