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Finding the Fourth Proportional to 428,084.62, 590,761.11 and 258,285.94

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Solution

The fourth proportional to 428,084.62, 590,761.11 and 258,285.94 is: 356,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,084.62 : 590,761.11 = 258,285.94 : x
  2. Step 2: Convert to fraction form
    428,084.62/590,761.11 = 258,285.94/x
  3. Step 3: Cross multiply
    428,084.62x = 590,761.11 × 258,285.94
  4. Step 4: Simplify right side
    428,084.62x = 152,585,288,103.46
  5. Step 5: Solve for x
    x = 152,585,288,103.46/428,084.62
  6. Step 6: Final answer
    x = 356,437.21

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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.