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Finding the Fourth Proportional to 497,463.54, 686,524.02 and 279,740.73

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Solution

The fourth proportional to 497,463.54, 686,524.02 and 279,740.73 is: 386,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,463.54 : 686,524.02 = 279,740.73 : x
  2. Step 2: Convert to fraction form
    497,463.54/686,524.02 = 279,740.73/x
  3. Step 3: Cross multiply
    497,463.54x = 686,524.02 × 279,740.73
  4. Step 4: Simplify right side
    497,463.54x = 192,048,728,181.07
  5. Step 5: Solve for x
    x = 192,048,728,181.07/497,463.54
  6. Step 6: Final answer
    x = 386,055.89

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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.