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Finding the Fourth Proportional to 277,322.40, 415,851.84 and 136,917

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Solution

The fourth proportional to 277,322.40, 415,851.84 and 136,917 is: 205,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,322.40 : 415,851.84 = 136,917 : x
  2. Step 2: Convert to fraction form
    277,322.40/415,851.84 = 136,917/x
  3. Step 3: Cross multiply
    277,322.40x = 415,851.84 × 136,917
  4. Step 4: Simplify right side
    277,322.40x = 56,937,186,377.28
  5. Step 5: Solve for x
    x = 56,937,186,377.28/277,322.40
  6. Step 6: Final answer
    x = 205,310.45

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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.