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Finding the Fourth Proportional to 291,678, 402,471.90 and 164,350.86

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Solution

The fourth proportional to 291,678, 402,471.90 and 164,350.86 is: 226,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,678 : 402,471.90 = 164,350.86 : x
  2. Step 2: Convert to fraction form
    291,678/402,471.90 = 164,350.86/x
  3. Step 3: Cross multiply
    291,678x = 402,471.90 × 164,350.86
  4. Step 4: Simplify right side
    291,678x = 66,146,602,890.83
  5. Step 5: Solve for x
    x = 66,146,602,890.83/291,678
  6. Step 6: Final answer
    x = 226,779.54

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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.