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Finding the Fourth Proportional to 428,165.76, 590,843.34 and 234,534.76

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Solution

The fourth proportional to 428,165.76, 590,843.34 and 234,534.76 is: 323,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,165.76 : 590,843.34 = 234,534.76 : x
  2. Step 2: Convert to fraction form
    428,165.76/590,843.34 = 234,534.76/x
  3. Step 3: Cross multiply
    428,165.76x = 590,843.34 × 234,534.76
  4. Step 4: Simplify right side
    428,165.76x = 138,573,299,467.39
  5. Step 5: Solve for x
    x = 138,573,299,467.39/428,165.76
  6. Step 6: Final answer
    x = 323,644.05

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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.