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Finding the Fourth Proportional to 256,802.77, 385,286.18 and 123,696.49

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Solution

The fourth proportional to 256,802.77, 385,286.18 and 123,696.49 is: 185,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,802.77 : 385,286.18 = 123,696.49 : x
  2. Step 2: Convert to fraction form
    256,802.77/385,286.18 = 123,696.49/x
  3. Step 3: Cross multiply
    256,802.77x = 385,286.18 × 123,696.49
  4. Step 4: Simplify right side
    256,802.77x = 47,658,548,111.51
  5. Step 5: Solve for x
    x = 47,658,548,111.51/256,802.77
  6. Step 6: Final answer
    x = 185,584.24

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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.