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Finding the Fourth Proportional to 256,962.78, 385,222.52 and 123,659.66

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Solution

The fourth proportional to 256,962.78, 385,222.52 and 123,659.66 is: 185,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,962.78 : 385,222.52 = 123,659.66 : x
  2. Step 2: Convert to fraction form
    256,962.78/385,222.52 = 123,659.66/x
  3. Step 3: Cross multiply
    256,962.78x = 385,222.52 × 123,659.66
  4. Step 4: Simplify right side
    256,962.78x = 47,636,483,303.13
  5. Step 5: Solve for x
    x = 47,636,483,303.13/256,962.78
  6. Step 6: Final answer
    x = 185,382.81

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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.