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Finding the Fourth Proportional to 300,957.68, 415,318.95 and 164,989.15

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Solution

The fourth proportional to 300,957.68, 415,318.95 and 164,989.15 is: 227,683.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,957.68 : 415,318.95 = 164,989.15 : x
  2. Step 2: Convert to fraction form
    300,957.68/415,318.95 = 164,989.15/x
  3. Step 3: Cross multiply
    300,957.68x = 415,318.95 × 164,989.15
  4. Step 4: Simplify right side
    300,957.68x = 68,523,120,539.39
  5. Step 5: Solve for x
    x = 68,523,120,539.39/300,957.68
  6. Step 6: Final answer
    x = 227,683.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.