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Finding the Fourth Proportional to 291,516.88, 402,285.60 and 164,193.52

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Solution

The fourth proportional to 291,516.88, 402,285.60 and 164,193.52 is: 226,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,516.88 : 402,285.60 = 164,193.52 : x
  2. Step 2: Convert to fraction form
    291,516.88/402,285.60 = 164,193.52/x
  3. Step 3: Cross multiply
    291,516.88x = 402,285.60 × 164,193.52
  4. Step 4: Simplify right side
    291,516.88x = 66,052,688,709.31
  5. Step 5: Solve for x
    x = 66,052,688,709.31/291,516.88
  6. Step 6: Final answer
    x = 226,582.72

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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.