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Finding the Fourth Proportional to 391,313.44, 540,241.68 and 283,780

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Solution

The fourth proportional to 391,313.44, 540,241.68 and 283,780 is: 391,782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,313.44 : 540,241.68 = 283,780 : x
  2. Step 2: Convert to fraction form
    391,313.44/540,241.68 = 283,780/x
  3. Step 3: Cross multiply
    391,313.44x = 540,241.68 × 283,780
  4. Step 4: Simplify right side
    391,313.44x = 153,309,783,950.40
  5. Step 5: Solve for x
    x = 153,309,783,950.40/391,313.44
  6. Step 6: Final answer
    x = 391,782.57

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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.