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Finding the Fourth Proportional to 270,740, 406,101.72 and 128,687.60

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Solution

The fourth proportional to 270,740, 406,101.72 and 128,687.60 is: 193,027.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,740 : 406,101.72 = 128,687.60 : x
  2. Step 2: Convert to fraction form
    270,740/406,101.72 = 128,687.60/x
  3. Step 3: Cross multiply
    270,740x = 406,101.72 × 128,687.60
  4. Step 4: Simplify right side
    270,740x = 52,260,255,702.67
  5. Step 5: Solve for x
    x = 52,260,255,702.67/270,740
  6. Step 6: Final answer
    x = 193,027.46

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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.