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Finding the Fourth Proportional to 415,300, 623,027.84 and 193,684

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Solution

The fourth proportional to 415,300, 623,027.84 and 193,684 is: 290,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,300 : 623,027.84 = 193,684 : x
  2. Step 2: Convert to fraction form
    415,300/623,027.84 = 193,684/x
  3. Step 3: Cross multiply
    415,300x = 623,027.84 × 193,684
  4. Step 4: Simplify right side
    415,300x = 120,670,524,162.56
  5. Step 5: Solve for x
    x = 120,670,524,162.56/415,300
  6. Step 6: Final answer
    x = 290,562.30

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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.