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Finding the Fourth Proportional to 417,965.88, 576,969.50 and 282,183.76

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Solution

The fourth proportional to 417,965.88, 576,969.50 and 282,183.76 is: 389,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,965.88 : 576,969.50 = 282,183.76 : x
  2. Step 2: Convert to fraction form
    417,965.88/576,969.50 = 282,183.76/x
  3. Step 3: Cross multiply
    417,965.88x = 576,969.50 × 282,183.76
  4. Step 4: Simplify right side
    417,965.88x = 162,811,422,915.32
  5. Step 5: Solve for x
    x = 162,811,422,915.32/417,965.88
  6. Step 6: Final answer
    x = 389,532.81

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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.