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Finding the Fourth Proportional to 498,684.81, 687,717.90 and 397,045.79

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Solution

The fourth proportional to 498,684.81, 687,717.90 and 397,045.79 is: 547,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,684.81 : 687,717.90 = 397,045.79 : x
  2. Step 2: Convert to fraction form
    498,684.81/687,717.90 = 397,045.79/x
  3. Step 3: Cross multiply
    498,684.81x = 687,717.90 × 397,045.79
  4. Step 4: Simplify right side
    498,684.81x = 273,055,493,464.05
  5. Step 5: Solve for x
    x = 273,055,493,464.05/498,684.81
  6. Step 6: Final answer
    x = 547,551.25

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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.