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Finding the Fourth Proportional to 268,228, 401,729.46 and 128,085.04

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Solution

The fourth proportional to 268,228, 401,729.46 and 128,085.04 is: 191,835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,228 : 401,729.46 = 128,085.04 : x
  2. Step 2: Convert to fraction form
    268,228/401,729.46 = 128,085.04/x
  3. Step 3: Cross multiply
    268,228x = 401,729.46 × 128,085.04
  4. Step 4: Simplify right side
    268,228x = 51,455,533,953.28
  5. Step 5: Solve for x
    x = 51,455,533,953.28/268,228
  6. Step 6: Final answer
    x = 191,835.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.