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Finding the Fourth Proportional to 417,961.31, 576,963.16 and 282,179.16

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Solution

The fourth proportional to 417,961.31, 576,963.16 and 282,179.16 is: 389,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,961.31 : 576,963.16 = 282,179.16 : x
  2. Step 2: Convert to fraction form
    417,961.31/576,963.16 = 282,179.16/x
  3. Step 3: Cross multiply
    417,961.31x = 576,963.16 × 282,179.16
  4. Step 4: Simplify right side
    417,961.31x = 162,806,979,839.75
  5. Step 5: Solve for x
    x = 162,806,979,839.75/417,961.31
  6. Step 6: Final answer
    x = 389,526.44

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1.5x scale

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.