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Finding the Fourth Proportional to 421,864.68, 582,321.38 and 260,843.24

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Solution

The fourth proportional to 421,864.68, 582,321.38 and 260,843.24 is: 360,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,864.68 : 582,321.38 = 260,843.24 : x
  2. Step 2: Convert to fraction form
    421,864.68/582,321.38 = 260,843.24/x
  3. Step 3: Cross multiply
    421,864.68x = 582,321.38 × 260,843.24
  4. Step 4: Simplify right side
    421,864.68x = 151,894,595,480.47
  5. Step 5: Solve for x
    x = 151,894,595,480.47/421,864.68
  6. Step 6: Final answer
    x = 360,055.26

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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.