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Finding the Fourth Proportional to 291,321.32, 402,061.74 and 164,021.72

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Solution

The fourth proportional to 291,321.32, 402,061.74 and 164,021.72 is: 226,371.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,321.32 : 402,061.74 = 164,021.72 : x
  2. Step 2: Convert to fraction form
    291,321.32/402,061.74 = 164,021.72/x
  3. Step 3: Cross multiply
    291,321.32x = 402,061.74 × 164,021.72
  4. Step 4: Simplify right side
    291,321.32x = 65,946,858,140.99
  5. Step 5: Solve for x
    x = 65,946,858,140.99/291,321.32
  6. Step 6: Final answer
    x = 226,371.55

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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.