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Finding the Fourth Proportional to 256,829.62, 354,405.63 and 143,630.50

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Solution

The fourth proportional to 256,829.62, 354,405.63 and 143,630.50 is: 198,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,829.62 : 354,405.63 = 143,630.50 : x
  2. Step 2: Convert to fraction form
    256,829.62/354,405.63 = 143,630.50/x
  3. Step 3: Cross multiply
    256,829.62x = 354,405.63 × 143,630.50
  4. Step 4: Simplify right side
    256,829.62x = 50,903,457,839.72
  5. Step 5: Solve for x
    x = 50,903,457,839.72/256,829.62
  6. Step 6: Final answer
    x = 198,199.33

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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.