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Finding the Fourth Proportional to 391,098.60, 587,085.30 and 302,743.80

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Solution

The fourth proportional to 391,098.60, 587,085.30 and 302,743.80 is: 454,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,098.60 : 587,085.30 = 302,743.80 : x
  2. Step 2: Convert to fraction form
    391,098.60/587,085.30 = 302,743.80/x
  3. Step 3: Cross multiply
    391,098.60x = 587,085.30 × 302,743.80
  4. Step 4: Simplify right side
    391,098.60x = 177,736,434,646.14
  5. Step 5: Solve for x
    x = 177,736,434,646.14/391,098.60
  6. Step 6: Final answer
    x = 454,454.29

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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.