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Finding the Fourth Proportional to 524,701.80, 724,067.64 and 309,910.86

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Solution

The fourth proportional to 524,701.80, 724,067.64 and 309,910.86 is: 427,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,701.80 : 724,067.64 = 309,910.86 : x
  2. Step 2: Convert to fraction form
    524,701.80/724,067.64 = 309,910.86/x
  3. Step 3: Cross multiply
    524,701.80x = 724,067.64 × 309,910.86
  4. Step 4: Simplify right side
    524,701.80x = 224,396,425,010.57
  5. Step 5: Solve for x
    x = 224,396,425,010.57/524,701.80
  6. Step 6: Final answer
    x = 427,664.68

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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.