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Finding the Fourth Proportional to 290,804.64, 401,279.80 and 161,722.20

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Solution

The fourth proportional to 290,804.64, 401,279.80 and 161,722.20 is: 223,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,804.64 : 401,279.80 = 161,722.20 : x
  2. Step 2: Convert to fraction form
    290,804.64/401,279.80 = 161,722.20/x
  3. Step 3: Cross multiply
    290,804.64x = 401,279.80 × 161,722.20
  4. Step 4: Simplify right side
    290,804.64x = 64,895,852,071.56
  5. Step 5: Solve for x
    x = 64,895,852,071.56/290,804.64
  6. Step 6: Final answer
    x = 223,159.62

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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.