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Finding the Fourth Proportional to 498,935.89, 748,877 and 308,821.18

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Solution

The fourth proportional to 498,935.89, 748,877 and 308,821.18 is: 463,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,935.89 : 748,877 = 308,821.18 : x
  2. Step 2: Convert to fraction form
    498,935.89/748,877 = 308,821.18/x
  3. Step 3: Cross multiply
    498,935.89x = 748,877 × 308,821.18
  4. Step 4: Simplify right side
    498,935.89x = 231,269,078,814.86
  5. Step 5: Solve for x
    x = 231,269,078,814.86/498,935.89
  6. Step 6: Final answer
    x = 463,524.64

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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.