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Finding the Fourth Proportional to 415,612.80, 623,024.64 and 134,933.76

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Solution

The fourth proportional to 415,612.80, 623,024.64 and 134,933.76 is: 202,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,612.80 : 623,024.64 = 134,933.76 : x
  2. Step 2: Convert to fraction form
    415,612.80/623,024.64 = 134,933.76/x
  3. Step 3: Cross multiply
    415,612.80x = 623,024.64 × 134,933.76
  4. Step 4: Simplify right side
    415,612.80x = 84,067,057,247.85
  5. Step 5: Solve for x
    x = 84,067,057,247.85/415,612.80
  6. Step 6: Final answer
    x = 202,272.54

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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.