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Finding the Fourth Proportional to 256,675.26, 354,045 and 164,648.91

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Solution

The fourth proportional to 256,675.26, 354,045 and 164,648.91 is: 227,108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,675.26 : 354,045 = 164,648.91 : x
  2. Step 2: Convert to fraction form
    256,675.26/354,045 = 164,648.91/x
  3. Step 3: Cross multiply
    256,675.26x = 354,045 × 164,648.91
  4. Step 4: Simplify right side
    256,675.26x = 58,293,123,340.95
  5. Step 5: Solve for x
    x = 58,293,123,340.95/256,675.26
  6. Step 6: Final answer
    x = 227,108.46

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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.