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Finding the Fourth Proportional to 386,430, 533,172.39 and 223,046.52

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Solution

The fourth proportional to 386,430, 533,172.39 and 223,046.52 is: 307,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,430 : 533,172.39 = 223,046.52 : x
  2. Step 2: Convert to fraction form
    386,430/533,172.39 = 223,046.52/x
  3. Step 3: Cross multiply
    386,430x = 533,172.39 × 223,046.52
  4. Step 4: Simplify right side
    386,430x = 118,922,246,149.58
  5. Step 5: Solve for x
    x = 118,922,246,149.58/386,430
  6. Step 6: Final answer
    x = 307,745.89

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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.