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Finding the Fourth Proportional to 289,809.89, 399,917.61 and 160,736.19

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Solution

The fourth proportional to 289,809.89, 399,917.61 and 160,736.19 is: 221,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,809.89 : 399,917.61 = 160,736.19 : x
  2. Step 2: Convert to fraction form
    289,809.89/399,917.61 = 160,736.19/x
  3. Step 3: Cross multiply
    289,809.89x = 399,917.61 × 160,736.19
  4. Step 4: Simplify right side
    289,809.89x = 64,281,232,945.31
  5. Step 5: Solve for x
    x = 64,281,232,945.31/289,809.89
  6. Step 6: Final answer
    x = 221,804.83

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1.5x scale

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.