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Finding the Fourth Proportional to 357,403.16, 538,614.81 and 321,908.96

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Solution

The fourth proportional to 357,403.16, 538,614.81 and 321,908.96 is: 485,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,403.16 : 538,614.81 = 321,908.96 : x
  2. Step 2: Convert to fraction form
    357,403.16/538,614.81 = 321,908.96/x
  3. Step 3: Cross multiply
    357,403.16x = 538,614.81 × 321,908.96
  4. Step 4: Simplify right side
    357,403.16x = 173,384,930,634.62
  5. Step 5: Solve for x
    x = 173,384,930,634.62/357,403.16
  6. Step 6: Final answer
    x = 485,124.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.