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Finding the Fourth Proportional to 586,906, 809,930.28 and 318,634

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Solution

The fourth proportional to 586,906, 809,930.28 and 318,634 is: 439,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,906 : 809,930.28 = 318,634 : x
  2. Step 2: Convert to fraction form
    586,906/809,930.28 = 318,634/x
  3. Step 3: Cross multiply
    586,906x = 809,930.28 × 318,634
  4. Step 4: Simplify right side
    586,906x = 258,071,324,837.52
  5. Step 5: Solve for x
    x = 258,071,324,837.52/586,906
  6. Step 6: Final answer
    x = 439,714.92

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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.