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Finding the Fourth Proportional to 493,395.57, 680,899.15 and 299,737.39

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Solution

The fourth proportional to 493,395.57, 680,899.15 and 299,737.39 is: 413,645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,395.57 : 680,899.15 = 299,737.39 : x
  2. Step 2: Convert to fraction form
    493,395.57/680,899.15 = 299,737.39/x
  3. Step 3: Cross multiply
    493,395.57x = 680,899.15 × 299,737.39
  4. Step 4: Simplify right side
    493,395.57x = 204,090,934,074.22
  5. Step 5: Solve for x
    x = 204,090,934,074.22/493,395.57
  6. Step 6: Final answer
    x = 413,645.66

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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.