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Finding the Fourth Proportional to 468,379.85, 646,376.78 and 284,555.83

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Solution

The fourth proportional to 468,379.85, 646,376.78 and 284,555.83 is: 392,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,379.85 : 646,376.78 = 284,555.83 : x
  2. Step 2: Convert to fraction form
    468,379.85/646,376.78 = 284,555.83/x
  3. Step 3: Cross multiply
    468,379.85x = 646,376.78 × 284,555.83
  4. Step 4: Simplify right side
    468,379.85x = 183,930,281,433.03
  5. Step 5: Solve for x
    x = 183,930,281,433.03/468,379.85
  6. Step 6: Final answer
    x = 392,694.70

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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.