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Finding the Fourth Proportional to 414,165.61, 621,314.16 and 133,617.25

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Solution

The fourth proportional to 414,165.61, 621,314.16 and 133,617.25 is: 200,447.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,165.61 : 621,314.16 = 133,617.25 : x
  2. Step 2: Convert to fraction form
    414,165.61/621,314.16 = 133,617.25/x
  3. Step 3: Cross multiply
    414,165.61x = 621,314.16 × 133,617.25
  4. Step 4: Simplify right side
    414,165.61x = 83,018,289,445.26
  5. Step 5: Solve for x
    x = 83,018,289,445.26/414,165.61
  6. Step 6: Final answer
    x = 200,447.09

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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.