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Finding the Fourth Proportional to 441,128, 661,468.44 and 188,369.12

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Solution

The fourth proportional to 441,128, 661,468.44 and 188,369.12 is: 282,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,128 : 661,468.44 = 188,369.12 : x
  2. Step 2: Convert to fraction form
    441,128/661,468.44 = 188,369.12/x
  3. Step 3: Cross multiply
    441,128x = 661,468.44 × 188,369.12
  4. Step 4: Simplify right side
    441,128x = 124,600,227,950.57
  5. Step 5: Solve for x
    x = 124,600,227,950.57/441,128
  6. Step 6: Final answer
    x = 282,458.22

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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.