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Finding the Fourth Proportional to 255,371.95, 352,410 and 140,648.41

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Solution

The fourth proportional to 255,371.95, 352,410 and 140,648.41 is: 194,092.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,371.95 : 352,410 = 140,648.41 : x
  2. Step 2: Convert to fraction form
    255,371.95/352,410 = 140,648.41/x
  3. Step 3: Cross multiply
    255,371.95x = 352,410 × 140,648.41
  4. Step 4: Simplify right side
    255,371.95x = 49,565,906,168.10
  5. Step 5: Solve for x
    x = 49,565,906,168.10/255,371.95
  6. Step 6: Final answer
    x = 194,092.99

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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.