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Finding the Fourth Proportional to 256,041.44, 353,238.64 and 160,381.60

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Solution

The fourth proportional to 256,041.44, 353,238.64 and 160,381.60 is: 221,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,041.44 : 353,238.64 = 160,381.60 : x
  2. Step 2: Convert to fraction form
    256,041.44/353,238.64 = 160,381.60/x
  3. Step 3: Cross multiply
    256,041.44x = 353,238.64 × 160,381.60
  4. Step 4: Simplify right side
    256,041.44x = 56,652,978,265.02
  5. Step 5: Solve for x
    x = 56,652,978,265.02/256,041.44
  6. Step 6: Final answer
    x = 221,264.88

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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.