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Finding the Fourth Proportional to 291,612.60, 402,449.31 and 164,296.80

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Solution

The fourth proportional to 291,612.60, 402,449.31 and 164,296.80 is: 226,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,612.60 : 402,449.31 = 164,296.80 : x
  2. Step 2: Convert to fraction form
    291,612.60/402,449.31 = 164,296.80/x
  3. Step 3: Cross multiply
    291,612.60x = 402,449.31 × 164,296.80
  4. Step 4: Simplify right side
    291,612.60x = 66,121,133,795.21
  5. Step 5: Solve for x
    x = 66,121,133,795.21/291,612.60
  6. Step 6: Final answer
    x = 226,743.06

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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.