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Finding the Fourth Proportional to 417,961.18, 576,963 and 282,179.04

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Solution

The fourth proportional to 417,961.18, 576,963 and 282,179.04 is: 389,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,961.18 : 576,963 = 282,179.04 : x
  2. Step 2: Convert to fraction form
    417,961.18/576,963 = 282,179.04/x
  3. Step 3: Cross multiply
    417,961.18x = 576,963 × 282,179.04
  4. Step 4: Simplify right side
    417,961.18x = 162,806,865,455.52
  5. Step 5: Solve for x
    x = 162,806,865,455.52/417,961.18
  6. Step 6: Final answer
    x = 389,526.28

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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.