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Finding the Fourth Proportional to 520,176.60, 780,109.38 and 270,722.52

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Solution

The fourth proportional to 520,176.60, 780,109.38 and 270,722.52 is: 406,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,176.60 : 780,109.38 = 270,722.52 : x
  2. Step 2: Convert to fraction form
    520,176.60/780,109.38 = 270,722.52/x
  3. Step 3: Cross multiply
    520,176.60x = 780,109.38 × 270,722.52
  4. Step 4: Simplify right side
    520,176.60x = 211,193,177,229.24
  5. Step 5: Solve for x
    x = 211,193,177,229.24/520,176.60
  6. Step 6: Final answer
    x = 406,002.84

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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.