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Finding the Fourth Proportional to 256,557.12, 354,048 and 143,380.32

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Solution

The fourth proportional to 256,557.12, 354,048 and 143,380.32 is: 197,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,557.12 : 354,048 = 143,380.32 : x
  2. Step 2: Convert to fraction form
    256,557.12/354,048 = 143,380.32/x
  3. Step 3: Cross multiply
    256,557.12x = 354,048 × 143,380.32
  4. Step 4: Simplify right side
    256,557.12x = 50,763,515,535.36
  5. Step 5: Solve for x
    x = 50,763,515,535.36/256,557.12
  6. Step 6: Final answer
    x = 197,864.38

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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.