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Finding the Fourth Proportional to 205,659.40, 308,489.10 and 100,683.40

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Solution

The fourth proportional to 205,659.40, 308,489.10 and 100,683.40 is: 151,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,659.40 : 308,489.10 = 100,683.40 : x
  2. Step 2: Convert to fraction form
    205,659.40/308,489.10 = 100,683.40/x
  3. Step 3: Cross multiply
    205,659.40x = 308,489.10 × 100,683.40
  4. Step 4: Simplify right side
    205,659.40x = 31,059,731,450.94
  5. Step 5: Solve for x
    x = 31,059,731,450.94/205,659.40
  6. Step 6: Final answer
    x = 151,025.10

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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.