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Finding the Fourth Proportional to 297,404.95, 410,407.87 and 161,435.92

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Solution

The fourth proportional to 297,404.95, 410,407.87 and 161,435.92 is: 222,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,404.95 : 410,407.87 = 161,435.92 : x
  2. Step 2: Convert to fraction form
    297,404.95/410,407.87 = 161,435.92/x
  3. Step 3: Cross multiply
    297,404.95x = 410,407.87 × 161,435.92
  4. Step 4: Simplify right side
    297,404.95x = 66,254,571,042.67
  5. Step 5: Solve for x
    x = 66,254,571,042.67/297,404.95
  6. Step 6: Final answer
    x = 222,775.61

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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.