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Finding the Fourth Proportional to 399,137.14, 597,854.49 and 322,908.58

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Solution

The fourth proportional to 399,137.14, 597,854.49 and 322,908.58 is: 483,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,137.14 : 597,854.49 = 322,908.58 : x
  2. Step 2: Convert to fraction form
    399,137.14/597,854.49 = 322,908.58/x
  3. Step 3: Cross multiply
    399,137.14x = 597,854.49 × 322,908.58
  4. Step 4: Simplify right side
    399,137.14x = 193,052,344,412.52
  5. Step 5: Solve for x
    x = 193,052,344,412.52/399,137.14
  6. Step 6: Final answer
    x = 483,674.22

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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.