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Finding the Fourth Proportional to 256,990.56, 354,781.20 and 160,223.64

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Solution

The fourth proportional to 256,990.56, 354,781.20 and 160,223.64 is: 221,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,990.56 : 354,781.20 = 160,223.64 : x
  2. Step 2: Convert to fraction form
    256,990.56/354,781.20 = 160,223.64/x
  3. Step 3: Cross multiply
    256,990.56x = 354,781.20 × 160,223.64
  4. Step 4: Simplify right side
    256,990.56x = 56,844,335,267.57
  5. Step 5: Solve for x
    x = 56,844,335,267.57/256,990.56
  6. Step 6: Final answer
    x = 221,192.31

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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.