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Finding the Fourth Proportional to 320,409.76, 442,310.46 and 205,854.70

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Solution

The fourth proportional to 320,409.76, 442,310.46 and 205,854.70 is: 284,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,409.76 : 442,310.46 = 205,854.70 : x
  2. Step 2: Convert to fraction form
    320,409.76/442,310.46 = 205,854.70/x
  3. Step 3: Cross multiply
    320,409.76x = 442,310.46 × 205,854.70
  4. Step 4: Simplify right side
    320,409.76x = 91,051,687,050.16
  5. Step 5: Solve for x
    x = 91,051,687,050.16/320,409.76
  6. Step 6: Final answer
    x = 284,172.64

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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.