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Finding the Fourth Proportional to 268,671.30, 370,766.40 and 147,810

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Solution

The fourth proportional to 268,671.30, 370,766.40 and 147,810 is: 203,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,671.30 : 370,766.40 = 147,810 : x
  2. Step 2: Convert to fraction form
    268,671.30/370,766.40 = 147,810/x
  3. Step 3: Cross multiply
    268,671.30x = 370,766.40 × 147,810
  4. Step 4: Simplify right side
    268,671.30x = 54,802,981,584
  5. Step 5: Solve for x
    x = 54,802,981,584/268,671.30
  6. Step 6: Final answer
    x = 203,977.80

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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.