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Finding the Fourth Proportional to 258,874.38, 357,109.65 and 178,161.80

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Solution

The fourth proportional to 258,874.38, 357,109.65 and 178,161.80 is: 245,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,874.38 : 357,109.65 = 178,161.80 : x
  2. Step 2: Convert to fraction form
    258,874.38/357,109.65 = 178,161.80/x
  3. Step 3: Cross multiply
    258,874.38x = 357,109.65 × 178,161.80
  4. Step 4: Simplify right side
    258,874.38x = 63,623,296,255.82
  5. Step 5: Solve for x
    x = 63,623,296,255.82/258,874.38
  6. Step 6: Final answer
    x = 245,769.00

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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.