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Finding the Fourth Proportional to 417,963.26, 576,965.87 and 282,181.13

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Solution

The fourth proportional to 417,963.26, 576,965.87 and 282,181.13 is: 389,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,963.26 : 576,965.87 = 282,181.13 : x
  2. Step 2: Convert to fraction form
    417,963.26/576,965.87 = 282,181.13/x
  3. Step 3: Cross multiply
    417,963.26x = 576,965.87 × 282,181.13
  4. Step 4: Simplify right side
    417,963.26x = 162,808,883,315.90
  5. Step 5: Solve for x
    x = 162,808,883,315.90/417,963.26
  6. Step 6: Final answer
    x = 389,529.18

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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.