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Finding the Fourth Proportional to 230,830.40, 346,245.60 and 185,729.60

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Solution

The fourth proportional to 230,830.40, 346,245.60 and 185,729.60 is: 278,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,830.40 : 346,245.60 = 185,729.60 : x
  2. Step 2: Convert to fraction form
    230,830.40/346,245.60 = 185,729.60/x
  3. Step 3: Cross multiply
    230,830.40x = 346,245.60 × 185,729.60
  4. Step 4: Simplify right side
    230,830.40x = 64,308,056,789.76
  5. Step 5: Solve for x
    x = 64,308,056,789.76/230,830.40
  6. Step 6: Final answer
    x = 278,594.40

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1.5x scale

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.