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Finding the Fourth Proportional to 493,149.28, 680,295.27 and 299,505.48

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Solution

The fourth proportional to 493,149.28, 680,295.27 and 299,505.48 is: 413,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,149.28 : 680,295.27 = 299,505.48 : x
  2. Step 2: Convert to fraction form
    493,149.28/680,295.27 = 299,505.48/x
  3. Step 3: Cross multiply
    493,149.28x = 680,295.27 × 299,505.48
  4. Step 4: Simplify right side
    493,149.28x = 203,752,161,383.08
  5. Step 5: Solve for x
    x = 203,752,161,383.08/493,149.28
  6. Step 6: Final answer
    x = 413,165.28

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1.5x scale

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.