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Finding the Fourth Proportional to 429,420.24, 641,238.66 and 350,690.64

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Solution

The fourth proportional to 429,420.24, 641,238.66 and 350,690.64 is: 523,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,420.24 : 641,238.66 = 350,690.64 : x
  2. Step 2: Convert to fraction form
    429,420.24/641,238.66 = 350,690.64/x
  3. Step 3: Cross multiply
    429,420.24x = 641,238.66 × 350,690.64
  4. Step 4: Simplify right side
    429,420.24x = 224,876,396,068.14
  5. Step 5: Solve for x
    x = 224,876,396,068.14/429,420.24
  6. Step 6: Final answer
    x = 523,674.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.