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Finding the Fourth Proportional to 427,843.54, 590,432.79 and 255,938.86

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Solution

The fourth proportional to 427,843.54, 590,432.79 and 255,938.86 is: 353,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,843.54 : 590,432.79 = 255,938.86 : x
  2. Step 2: Convert to fraction form
    427,843.54/590,432.79 = 255,938.86/x
  3. Step 3: Cross multiply
    427,843.54x = 590,432.79 × 255,938.86
  4. Step 4: Simplify right side
    427,843.54x = 151,114,695,179.22
  5. Step 5: Solve for x
    x = 151,114,695,179.22/427,843.54
  6. Step 6: Final answer
    x = 353,200.83

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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.