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Finding the Fourth Proportional to 258,564.88, 356,811.12 and 143,842.96

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Solution

The fourth proportional to 258,564.88, 356,811.12 and 143,842.96 is: 198,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,564.88 : 356,811.12 = 143,842.96 : x
  2. Step 2: Convert to fraction form
    258,564.88/356,811.12 = 143,842.96/x
  3. Step 3: Cross multiply
    258,564.88x = 356,811.12 × 143,842.96
  4. Step 4: Simplify right side
    258,564.88x = 51,324,767,661.72
  5. Step 5: Solve for x
    x = 51,324,767,661.72/258,564.88
  6. Step 6: Final answer
    x = 198,498.60

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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.