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Finding the Fourth Proportional to 256,671.97, 384,426.57 and 123,647.69

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Solution

The fourth proportional to 256,671.97, 384,426.57 and 123,647.69 is: 185,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,671.97 : 384,426.57 = 123,647.69 : x
  2. Step 2: Convert to fraction form
    256,671.97/384,426.57 = 123,647.69/x
  3. Step 3: Cross multiply
    256,671.97x = 384,426.57 × 123,647.69
  4. Step 4: Simplify right side
    256,671.97x = 47,533,457,355.12
  5. Step 5: Solve for x
    x = 47,533,457,355.12/256,671.97
  6. Step 6: Final answer
    x = 185,191.46

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1.5x scale

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.