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Finding the Fourth Proportional to 391,523.60, 587,722.80 and 365,826.35

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Solution

The fourth proportional to 391,523.60, 587,722.80 and 365,826.35 is: 549,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,523.60 : 587,722.80 = 365,826.35 : x
  2. Step 2: Convert to fraction form
    391,523.60/587,722.80 = 365,826.35/x
  3. Step 3: Cross multiply
    391,523.60x = 587,722.80 × 365,826.35
  4. Step 4: Simplify right side
    391,523.60x = 215,004,486,735.78
  5. Step 5: Solve for x
    x = 215,004,486,735.78/391,523.60
  6. Step 6: Final answer
    x = 549,148.22

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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.