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Finding the Fourth Proportional to 460,378.56, 635,277 and 256,422.64

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Solution

The fourth proportional to 460,378.56, 635,277 and 256,422.64 is: 353,837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,378.56 : 635,277 = 256,422.64 : x
  2. Step 2: Convert to fraction form
    460,378.56/635,277 = 256,422.64/x
  3. Step 3: Cross multiply
    460,378.56x = 635,277 × 256,422.64
  4. Step 4: Simplify right side
    460,378.56x = 162,899,405,471.28
  5. Step 5: Solve for x
    x = 162,899,405,471.28/460,378.56
  6. Step 6: Final answer
    x = 353,837.95

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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.