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Finding the Fourth Proportional to 376,509.21, 519,143.68 and 280,849.83

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Solution

The fourth proportional to 376,509.21, 519,143.68 and 280,849.83 is: 387,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,509.21 : 519,143.68 = 280,849.83 : x
  2. Step 2: Convert to fraction form
    376,509.21/519,143.68 = 280,849.83/x
  3. Step 3: Cross multiply
    376,509.21x = 519,143.68 × 280,849.83
  4. Step 4: Simplify right side
    376,509.21x = 145,801,415,598.03
  5. Step 5: Solve for x
    x = 145,801,415,598.03/376,509.21
  6. Step 6: Final answer
    x = 387,245.28

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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.