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Finding the Fourth Proportional to 391,709.48, 586,652.92 and 380,934.44

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Solution

The fourth proportional to 391,709.48, 586,652.92 and 380,934.44 is: 570,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,709.48 : 586,652.92 = 380,934.44 : x
  2. Step 2: Convert to fraction form
    391,709.48/586,652.92 = 380,934.44/x
  3. Step 3: Cross multiply
    391,709.48x = 586,652.92 × 380,934.44
  4. Step 4: Simplify right side
    391,709.48x = 223,476,301,554.57
  5. Step 5: Solve for x
    x = 223,476,301,554.57/391,709.48
  6. Step 6: Final answer
    x = 570,515.43

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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.