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Finding the Fourth Proportional to 395,410.74, 592,993.46 and 142,658.39

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Solution

The fourth proportional to 395,410.74, 592,993.46 and 142,658.39 is: 213,943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,410.74 : 592,993.46 = 142,658.39 : x
  2. Step 2: Convert to fraction form
    395,410.74/592,993.46 = 142,658.39/x
  3. Step 3: Cross multiply
    395,410.74x = 592,993.46 × 142,658.39
  4. Step 4: Simplify right side
    395,410.74x = 84,595,491,653.01
  5. Step 5: Solve for x
    x = 84,595,491,653.01/395,410.74
  6. Step 6: Final answer
    x = 213,943.33

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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.