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Finding the Fourth Proportional to 432,781.42, 597,405.03 and 387,379.30

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Solution

The fourth proportional to 432,781.42, 597,405.03 and 387,379.30 is: 534,732.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,781.42 : 597,405.03 = 387,379.30 : x
  2. Step 2: Convert to fraction form
    432,781.42/597,405.03 = 387,379.30/x
  3. Step 3: Cross multiply
    432,781.42x = 597,405.03 × 387,379.30
  4. Step 4: Simplify right side
    432,781.42x = 231,422,342,337.88
  5. Step 5: Solve for x
    x = 231,422,342,337.88/432,781.42
  6. Step 6: Final answer
    x = 534,732.62

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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.