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Finding the Fourth Proportional to 311,564.86, 429,959.64 and 168,324.64

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Solution

The fourth proportional to 311,564.86, 429,959.64 and 168,324.64 is: 232,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,564.86 : 429,959.64 = 168,324.64 : x
  2. Step 2: Convert to fraction form
    311,564.86/429,959.64 = 168,324.64/x
  3. Step 3: Cross multiply
    311,564.86x = 429,959.64 × 168,324.64
  4. Step 4: Simplify right side
    311,564.86x = 72,372,801,617.53
  5. Step 5: Solve for x
    x = 72,372,801,617.53/311,564.86
  6. Step 6: Final answer
    x = 232,288.08

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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.