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Finding the Fourth Proportional to 361,645.43, 498,494.32 and 285,045.75

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Solution

The fourth proportional to 361,645.43, 498,494.32 and 285,045.75 is: 392,908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,645.43 : 498,494.32 = 285,045.75 : x
  2. Step 2: Convert to fraction form
    361,645.43/498,494.32 = 285,045.75/x
  3. Step 3: Cross multiply
    361,645.43x = 498,494.32 × 285,045.75
  4. Step 4: Simplify right side
    361,645.43x = 142,093,686,602.53
  5. Step 5: Solve for x
    x = 142,093,686,602.53/361,645.43
  6. Step 6: Final answer
    x = 392,908.85

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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.