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Finding the Fourth Proportional to 291,259.70, 436,951.92 and 164,959.64

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Solution

The fourth proportional to 291,259.70, 436,951.92 and 164,959.64 is: 247,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,259.70 : 436,951.92 = 164,959.64 : x
  2. Step 2: Convert to fraction form
    291,259.70/436,951.92 = 164,959.64/x
  3. Step 3: Cross multiply
    291,259.70x = 436,951.92 × 164,959.64
  4. Step 4: Simplify right side
    291,259.70x = 72,079,431,420.51
  5. Step 5: Solve for x
    x = 72,079,431,420.51/291,259.70
  6. Step 6: Final answer
    x = 247,474.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.