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Finding the Fourth Proportional to 460,233, 635,120.87 and 256,301.78

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Solution

The fourth proportional to 460,233, 635,120.87 and 256,301.78 is: 353,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,233 : 635,120.87 = 256,301.78 : x
  2. Step 2: Convert to fraction form
    460,233/635,120.87 = 256,301.78/x
  3. Step 3: Cross multiply
    460,233x = 635,120.87 × 256,301.78
  4. Step 4: Simplify right side
    460,233x = 162,782,605,039.04
  5. Step 5: Solve for x
    x = 162,782,605,039.04/460,233
  6. Step 6: Final answer
    x = 353,696.07

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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.