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Finding the Fourth Proportional to 428,699.33, 643,182.84 and 258,108.06

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Solution

The fourth proportional to 428,699.33, 643,182.84 and 258,108.06 is: 387,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,699.33 : 643,182.84 = 258,108.06 : x
  2. Step 2: Convert to fraction form
    428,699.33/643,182.84 = 258,108.06/x
  3. Step 3: Cross multiply
    428,699.33x = 643,182.84 × 258,108.06
  4. Step 4: Simplify right side
    428,699.33x = 166,010,675,057.69
  5. Step 5: Solve for x
    x = 166,010,675,057.69/428,699.33
  6. Step 6: Final answer
    x = 387,242.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.