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Finding the Fourth Proportional to 429,337.92, 644,233.68 and 311,979.36

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Solution

The fourth proportional to 429,337.92, 644,233.68 and 311,979.36 is: 468,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,337.92 : 644,233.68 = 311,979.36 : x
  2. Step 2: Convert to fraction form
    429,337.92/644,233.68 = 311,979.36/x
  3. Step 3: Cross multiply
    429,337.92x = 644,233.68 × 311,979.36
  4. Step 4: Simplify right side
    429,337.92x = 200,987,611,176.85
  5. Step 5: Solve for x
    x = 200,987,611,176.85/429,337.92
  6. Step 6: Final answer
    x = 468,133.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.