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Finding the Fourth Proportional to 256,954.86, 385,661.23 and 122,185.08

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Solution

The fourth proportional to 256,954.86, 385,661.23 and 122,185.08 is: 183,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,954.86 : 385,661.23 = 122,185.08 : x
  2. Step 2: Convert to fraction form
    256,954.86/385,661.23 = 122,185.08/x
  3. Step 3: Cross multiply
    256,954.86x = 385,661.23 × 122,185.08
  4. Step 4: Simplify right side
    256,954.86x = 47,122,047,934.99
  5. Step 5: Solve for x
    x = 47,122,047,934.99/256,954.86
  6. Step 6: Final answer
    x = 183,386.48

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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.