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Finding the Fourth Proportional to 408,224, 612,614.60 and 141,981.84

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Solution

The fourth proportional to 408,224, 612,614.60 and 141,981.84 is: 213,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,224 : 612,614.60 = 141,981.84 : x
  2. Step 2: Convert to fraction form
    408,224/612,614.60 = 141,981.84/x
  3. Step 3: Cross multiply
    408,224x = 612,614.60 × 141,981.84
  4. Step 4: Simplify right side
    408,224x = 86,980,148,118.86
  5. Step 5: Solve for x
    x = 86,980,148,118.86/408,224
  6. Step 6: Final answer
    x = 213,069.66

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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.