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Finding the Fourth Proportional to 427,843.44, 590,238.54 and 257,983.20

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Solution

The fourth proportional to 427,843.44, 590,238.54 and 257,983.20 is: 355,905.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,843.44 : 590,238.54 = 257,983.20 : x
  2. Step 2: Convert to fraction form
    427,843.44/590,238.54 = 257,983.20/x
  3. Step 3: Cross multiply
    427,843.44x = 590,238.54 × 257,983.20
  4. Step 4: Simplify right side
    427,843.44x = 152,271,627,312.53
  5. Step 5: Solve for x
    x = 152,271,627,312.53/427,843.44
  6. Step 6: Final answer
    x = 355,905.02

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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.