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Finding the Fourth Proportional to 428,092.38, 590,771.84 and 258,293.70

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Solution

The fourth proportional to 428,092.38, 590,771.84 and 258,293.70 is: 356,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,092.38 : 590,771.84 = 258,293.70 : x
  2. Step 2: Convert to fraction form
    428,092.38/590,771.84 = 258,293.70/x
  3. Step 3: Cross multiply
    428,092.38x = 590,771.84 × 258,293.70
  4. Step 4: Simplify right side
    428,092.38x = 152,592,644,409.41
  5. Step 5: Solve for x
    x = 152,592,644,409.41/428,092.38
  6. Step 6: Final answer
    x = 356,447.93

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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.