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Finding the Fourth Proportional to 321,130.77, 443,128.14 and 177,864.05

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Solution

The fourth proportional to 321,130.77, 443,128.14 and 177,864.05 is: 245,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,130.77 : 443,128.14 = 177,864.05 : x
  2. Step 2: Convert to fraction form
    321,130.77/443,128.14 = 177,864.05/x
  3. Step 3: Cross multiply
    321,130.77x = 443,128.14 × 177,864.05
  4. Step 4: Simplify right side
    321,130.77x = 78,816,563,433.73
  5. Step 5: Solve for x
    x = 78,816,563,433.73/321,130.77
  6. Step 6: Final answer
    x = 245,434.48

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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.