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Finding the Fourth Proportional to 391,433.40, 587,150.10 and 191,784.60

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Solution

The fourth proportional to 391,433.40, 587,150.10 and 191,784.60 is: 287,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,433.40 : 587,150.10 = 191,784.60 : x
  2. Step 2: Convert to fraction form
    391,433.40/587,150.10 = 191,784.60/x
  3. Step 3: Cross multiply
    391,433.40x = 587,150.10 × 191,784.60
  4. Step 4: Simplify right side
    391,433.40x = 112,606,347,068.46
  5. Step 5: Solve for x
    x = 112,606,347,068.46/391,433.40
  6. Step 6: Final answer
    x = 287,676.90

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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.