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Finding the Fourth Proportional to 415,167.12, 622,838.16 and 134,662.50

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Solution

The fourth proportional to 415,167.12, 622,838.16 and 134,662.50 is: 202,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,167.12 : 622,838.16 = 134,662.50 : x
  2. Step 2: Convert to fraction form
    415,167.12/622,838.16 = 134,662.50/x
  3. Step 3: Cross multiply
    415,167.12x = 622,838.16 × 134,662.50
  4. Step 4: Simplify right side
    415,167.12x = 83,872,943,721
  5. Step 5: Solve for x
    x = 83,872,943,721/415,167.12
  6. Step 6: Final answer
    x = 202,022.12

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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.