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Finding the Fourth Proportional to 256,761.47, 354,211.43 and 166,146.72

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Solution

The fourth proportional to 256,761.47, 354,211.43 and 166,146.72 is: 229,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,761.47 : 354,211.43 = 166,146.72 : x
  2. Step 2: Convert to fraction form
    256,761.47/354,211.43 = 166,146.72/x
  3. Step 3: Cross multiply
    256,761.47x = 354,211.43 × 166,146.72
  4. Step 4: Simplify right side
    256,761.47x = 58,851,069,232.35
  5. Step 5: Solve for x
    x = 58,851,069,232.35/256,761.47
  6. Step 6: Final answer
    x = 229,205.22

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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.