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Finding the Fourth Proportional to 497,439.72, 685,771.72 and 420,650.75

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Solution

The fourth proportional to 497,439.72, 685,771.72 and 420,650.75 is: 579,910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,439.72 : 685,771.72 = 420,650.75 : x
  2. Step 2: Convert to fraction form
    497,439.72/685,771.72 = 420,650.75/x
  3. Step 3: Cross multiply
    497,439.72x = 685,771.72 × 420,650.75
  4. Step 4: Simplify right side
    497,439.72x = 288,470,389,009.59
  5. Step 5: Solve for x
    x = 288,470,389,009.59/497,439.72
  6. Step 6: Final answer
    x = 579,910.24

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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.