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Finding the Fourth Proportional to 253,304.94, 379,705.86 and 141,036.48

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Solution

The fourth proportional to 253,304.94, 379,705.86 and 141,036.48 is: 211,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,304.94 : 379,705.86 = 141,036.48 : x
  2. Step 2: Convert to fraction form
    253,304.94/379,705.86 = 141,036.48/x
  3. Step 3: Cross multiply
    253,304.94x = 379,705.86 × 141,036.48
  4. Step 4: Simplify right side
    253,304.94x = 53,552,377,929.77
  5. Step 5: Solve for x
    x = 53,552,377,929.77/253,304.94
  6. Step 6: Final answer
    x = 211,414.66

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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.