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Finding the Fourth Proportional to 588,103, 811,582.16 and 319,831

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Solution

The fourth proportional to 588,103, 811,582.16 and 319,831 is: 441,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,103 : 811,582.16 = 319,831 : x
  2. Step 2: Convert to fraction form
    588,103/811,582.16 = 319,831/x
  3. Step 3: Cross multiply
    588,103x = 811,582.16 × 319,831
  4. Step 4: Simplify right side
    588,103x = 259,569,133,814.96
  5. Step 5: Solve for x
    x = 259,569,133,814.96/588,103
  6. Step 6: Final answer
    x = 441,366.79

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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.