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Finding the Fourth Proportional to 291,496.92, 402,260.94 and 164,172.12

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Solution

The fourth proportional to 291,496.92, 402,260.94 and 164,172.12 is: 226,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,496.92 : 402,260.94 = 164,172.12 : x
  2. Step 2: Convert to fraction form
    291,496.92/402,260.94 = 164,172.12/x
  3. Step 3: Cross multiply
    291,496.92x = 402,260.94 × 164,172.12
  4. Step 4: Simplify right side
    291,496.92x = 66,040,031,312.99
  5. Step 5: Solve for x
    x = 66,040,031,312.99/291,496.92
  6. Step 6: Final answer
    x = 226,554.82

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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.