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Finding the Fourth Proportional to 205,520.70, 307,989.45 and 151,793.40

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Solution

The fourth proportional to 205,520.70, 307,989.45 and 151,793.40 is: 227,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,520.70 : 307,989.45 = 151,793.40 : x
  2. Step 2: Convert to fraction form
    205,520.70/307,989.45 = 151,793.40/x
  3. Step 3: Cross multiply
    205,520.70x = 307,989.45 × 151,793.40
  4. Step 4: Simplify right side
    205,520.70x = 46,750,765,779.63
  5. Step 5: Solve for x
    x = 46,750,765,779.63/205,520.70
  6. Step 6: Final answer
    x = 227,474.73

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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.