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Finding the Fourth Proportional to 291,321.73, 402,031.44 and 164,001.79

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Solution

The fourth proportional to 291,321.73, 402,031.44 and 164,001.79 is: 226,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,321.73 : 402,031.44 = 164,001.79 : x
  2. Step 2: Convert to fraction form
    291,321.73/402,031.44 = 164,001.79/x
  3. Step 3: Cross multiply
    291,321.73x = 402,031.44 × 164,001.79
  4. Step 4: Simplify right side
    291,321.73x = 65,933,875,796.28
  5. Step 5: Solve for x
    x = 65,933,875,796.28/291,321.73
  6. Step 6: Final answer
    x = 226,326.67

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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.