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Finding the Fourth Proportional to 312,909.66, 431,824.01 and 176,964.03

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Solution

The fourth proportional to 312,909.66, 431,824.01 and 176,964.03 is: 244,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,909.66 : 431,824.01 = 176,964.03 : x
  2. Step 2: Convert to fraction form
    312,909.66/431,824.01 = 176,964.03/x
  3. Step 3: Cross multiply
    312,909.66x = 431,824.01 × 176,964.03
  4. Step 4: Simplify right side
    312,909.66x = 76,417,316,175.54
  5. Step 5: Solve for x
    x = 76,417,316,175.54/312,909.66
  6. Step 6: Final answer
    x = 244,215.27

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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.