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Finding the Fourth Proportional to 256,936, 354,571.68 and 143,780.62

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Solution

The fourth proportional to 256,936, 354,571.68 and 143,780.62 is: 198,417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,936 : 354,571.68 = 143,780.62 : x
  2. Step 2: Convert to fraction form
    256,936/354,571.68 = 143,780.62/x
  3. Step 3: Cross multiply
    256,936x = 354,571.68 × 143,780.62
  4. Step 4: Simplify right side
    256,936x = 50,980,535,984.84
  5. Step 5: Solve for x
    x = 50,980,535,984.84/256,936
  6. Step 6: Final answer
    x = 198,417.26

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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.