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Finding the Fourth Proportional to 256,792.90, 384,873.85 and 144,236.52

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Solution

The fourth proportional to 256,792.90, 384,873.85 and 144,236.52 is: 216,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,792.90 : 384,873.85 = 144,236.52 : x
  2. Step 2: Convert to fraction form
    256,792.90/384,873.85 = 144,236.52/x
  3. Step 3: Cross multiply
    256,792.90x = 384,873.85 × 144,236.52
  4. Step 4: Simplify right side
    256,792.90x = 55,512,864,763.00
  5. Step 5: Solve for x
    x = 55,512,864,763.00/256,792.90
  6. Step 6: Final answer
    x = 216,177.57

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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.