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Finding the Fourth Proportional to 256,971.79, 385,536.55 and 114,936.57

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Solution

The fourth proportional to 256,971.79, 385,536.55 and 114,936.57 is: 172,440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,971.79 : 385,536.55 = 114,936.57 : x
  2. Step 2: Convert to fraction form
    256,971.79/385,536.55 = 114,936.57/x
  3. Step 3: Cross multiply
    256,971.79x = 385,536.55 × 114,936.57
  4. Step 4: Simplify right side
    256,971.79x = 44,312,246,738.95
  5. Step 5: Solve for x
    x = 44,312,246,738.95/256,971.79
  6. Step 6: Final answer
    x = 172,440.13

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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.