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Finding the Fourth Proportional to 408,542.15, 612,911.67 and 128,059.40

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Solution

The fourth proportional to 408,542.15, 612,911.67 and 128,059.40 is: 192,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,542.15 : 612,911.67 = 128,059.40 : x
  2. Step 2: Convert to fraction form
    408,542.15/612,911.67 = 128,059.40/x
  3. Step 3: Cross multiply
    408,542.15x = 612,911.67 × 128,059.40
  4. Step 4: Simplify right side
    408,542.15x = 78,489,097,008.34
  5. Step 5: Solve for x
    x = 78,489,097,008.34/408,542.15
  6. Step 6: Final answer
    x = 192,119.95

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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.