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Finding the Fourth Proportional to 291,420.48, 402,198.56 and 164,120.96

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Solution

The fourth proportional to 291,420.48, 402,198.56 and 164,120.96 is: 226,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,420.48 : 402,198.56 = 164,120.96 : x
  2. Step 2: Convert to fraction form
    291,420.48/402,198.56 = 164,120.96/x
  3. Step 3: Cross multiply
    291,420.48x = 402,198.56 × 164,120.96
  4. Step 4: Simplify right side
    291,420.48x = 66,009,213,777.82
  5. Step 5: Solve for x
    x = 66,009,213,777.82/291,420.48
  6. Step 6: Final answer
    x = 226,508.49

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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.