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Finding the Fourth Proportional to 415,420.82, 623,131.23 and 99,877.73

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Solution

The fourth proportional to 415,420.82, 623,131.23 and 99,877.73 is: 149,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,420.82 : 623,131.23 = 99,877.73 : x
  2. Step 2: Convert to fraction form
    415,420.82/623,131.23 = 99,877.73/x
  3. Step 3: Cross multiply
    415,420.82x = 623,131.23 × 99,877.73
  4. Step 4: Simplify right side
    415,420.82x = 62,236,929,628.85
  5. Step 5: Solve for x
    x = 62,236,929,628.85/415,420.82
  6. Step 6: Final answer
    x = 149,816.59

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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.