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Finding the Fourth Proportional to 312,873.35, 431,768.21 and 169,633.76

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Solution

The fourth proportional to 312,873.35, 431,768.21 and 169,633.76 is: 234,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,873.35 : 431,768.21 = 169,633.76 : x
  2. Step 2: Convert to fraction form
    312,873.35/431,768.21 = 169,633.76/x
  3. Step 3: Cross multiply
    312,873.35x = 431,768.21 × 169,633.76
  4. Step 4: Simplify right side
    312,873.35x = 73,242,461,903.76
  5. Step 5: Solve for x
    x = 73,242,461,903.76/312,873.35
  6. Step 6: Final answer
    x = 234,096.20

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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.