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Finding the Fourth Proportional to 256,838.63, 354,438.59 and 143,661.38

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Solution

The fourth proportional to 256,838.63, 354,438.59 and 143,661.38 is: 198,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,838.63 : 354,438.59 = 143,661.38 : x
  2. Step 2: Convert to fraction form
    256,838.63/354,438.59 = 143,661.38/x
  3. Step 3: Cross multiply
    256,838.63x = 354,438.59 × 143,661.38
  4. Step 4: Simplify right side
    256,838.63x = 50,919,134,474.15
  5. Step 5: Solve for x
    x = 50,919,134,474.15/256,838.63
  6. Step 6: Final answer
    x = 198,253.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.