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Finding the Fourth Proportional to 498,379.56, 687,699.50 and 280,560.74

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Solution

The fourth proportional to 498,379.56, 687,699.50 and 280,560.74 is: 387,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,379.56 : 687,699.50 = 280,560.74 : x
  2. Step 2: Convert to fraction form
    498,379.56/687,699.50 = 280,560.74/x
  3. Step 3: Cross multiply
    498,379.56x = 687,699.50 × 280,560.74
  4. Step 4: Simplify right side
    498,379.56x = 192,941,480,617.63
  5. Step 5: Solve for x
    x = 192,941,480,617.63/498,379.56
  6. Step 6: Final answer
    x = 387,137.63

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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.