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Finding the Fourth Proportional to 433,830.87, 649,614.53 and 349,128.36

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Solution

The fourth proportional to 433,830.87, 649,614.53 and 349,128.36 is: 522,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,830.87 : 649,614.53 = 349,128.36 : x
  2. Step 2: Convert to fraction form
    433,830.87/649,614.53 = 349,128.36/x
  3. Step 3: Cross multiply
    433,830.87x = 649,614.53 × 349,128.36
  4. Step 4: Simplify right side
    433,830.87x = 226,798,856,363.89
  5. Step 5: Solve for x
    x = 226,798,856,363.89/433,830.87
  6. Step 6: Final answer
    x = 522,781.74

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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.