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Finding the Fourth Proportional to 256,534.80, 354,017 and 143,357.52

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Solution

The fourth proportional to 256,534.80, 354,017 and 143,357.52 is: 197,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,534.80 : 354,017 = 143,357.52 : x
  2. Step 2: Convert to fraction form
    256,534.80/354,017 = 143,357.52/x
  3. Step 3: Cross multiply
    256,534.80x = 354,017 × 143,357.52
  4. Step 4: Simplify right side
    256,534.80x = 50,750,999,157.84
  5. Step 5: Solve for x
    x = 50,750,999,157.84/256,534.80
  6. Step 6: Final answer
    x = 197,832.81

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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.