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Finding the Fourth Proportional to 391,062.24, 539,665.92 and 212,214.24

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Solution

The fourth proportional to 391,062.24, 539,665.92 and 212,214.24 is: 292,855.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,062.24 : 539,665.92 = 212,214.24 : x
  2. Step 2: Convert to fraction form
    391,062.24/539,665.92 = 212,214.24/x
  3. Step 3: Cross multiply
    391,062.24x = 539,665.92 × 212,214.24
  4. Step 4: Simplify right side
    391,062.24x = 114,524,793,066.70
  5. Step 5: Solve for x
    x = 114,524,793,066.70/391,062.24
  6. Step 6: Final answer
    x = 292,855.67

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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.