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Finding the Fourth Proportional to 258,549.85, 356,794.49 and 143,827.12

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Solution

The fourth proportional to 258,549.85, 356,794.49 and 143,827.12 is: 198,479.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,549.85 : 356,794.49 = 143,827.12 : x
  2. Step 2: Convert to fraction form
    258,549.85/356,794.49 = 143,827.12/x
  3. Step 3: Cross multiply
    258,549.85x = 356,794.49 × 143,827.12
  4. Step 4: Simplify right side
    258,549.85x = 51,316,721,425.46
  5. Step 5: Solve for x
    x = 51,316,721,425.46/258,549.85
  6. Step 6: Final answer
    x = 198,479.03

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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.