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Finding the Fourth Proportional to 291,485.17, 402,247.78 and 164,201.77

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Solution

The fourth proportional to 291,485.17, 402,247.78 and 164,201.77 is: 226,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,485.17 : 402,247.78 = 164,201.77 : x
  2. Step 2: Convert to fraction form
    291,485.17/402,247.78 = 164,201.77/x
  3. Step 3: Cross multiply
    291,485.17x = 402,247.78 × 164,201.77
  4. Step 4: Simplify right side
    291,485.17x = 66,049,797,454.57
  5. Step 5: Solve for x
    x = 66,049,797,454.57/291,485.17
  6. Step 6: Final answer
    x = 226,597.45

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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.