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Finding the Fourth Proportional to 586,874.95, 809,890.78 and 345,167.71

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Solution

The fourth proportional to 586,874.95, 809,890.78 and 345,167.71 is: 476,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,874.95 : 809,890.78 = 345,167.71 : x
  2. Step 2: Convert to fraction form
    586,874.95/809,890.78 = 345,167.71/x
  3. Step 3: Cross multiply
    586,874.95x = 809,890.78 × 345,167.71
  4. Step 4: Simplify right side
    586,874.95x = 279,548,145,882.71
  5. Step 5: Solve for x
    x = 279,548,145,882.71/586,874.95
  6. Step 6: Final answer
    x = 476,333.41

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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.