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Finding the Fourth Proportional to 428,090.22, 590,768.84 and 258,291.54

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Solution

The fourth proportional to 428,090.22, 590,768.84 and 258,291.54 is: 356,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,090.22 : 590,768.84 = 258,291.54 : x
  2. Step 2: Convert to fraction form
    428,090.22/590,768.84 = 258,291.54/x
  3. Step 3: Cross multiply
    428,090.22x = 590,768.84 × 258,291.54
  4. Step 4: Simplify right side
    428,090.22x = 152,590,593,467.61
  5. Step 5: Solve for x
    x = 152,590,593,467.61/428,090.22
  6. Step 6: Final answer
    x = 356,444.94

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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.