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Finding the Fourth Proportional to 338,142.28, 466,636.32 and 187,239.28

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Solution

The fourth proportional to 338,142.28, 466,636.32 and 187,239.28 is: 258,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,142.28 : 466,636.32 = 187,239.28 : x
  2. Step 2: Convert to fraction form
    338,142.28/466,636.32 = 187,239.28/x
  3. Step 3: Cross multiply
    338,142.28x = 466,636.32 × 187,239.28
  4. Step 4: Simplify right side
    338,142.28x = 87,372,648,578.65
  5. Step 5: Solve for x
    x = 87,372,648,578.65/338,142.28
  6. Step 6: Final answer
    x = 258,390.19

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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.