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Finding the Fourth Proportional to 588,222, 811,746.36 and 319,950

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Solution

The fourth proportional to 588,222, 811,746.36 and 319,950 is: 441,531

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,222 : 811,746.36 = 319,950 : x
  2. Step 2: Convert to fraction form
    588,222/811,746.36 = 319,950/x
  3. Step 3: Cross multiply
    588,222x = 811,746.36 × 319,950
  4. Step 4: Simplify right side
    588,222x = 259,718,247,882
  5. Step 5: Solve for x
    x = 259,718,247,882/588,222
  6. Step 6: Final answer
    x = 441,531

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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.