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Finding the Fourth Proportional to 344,305, 516,476.94 and 122,689

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Solution

The fourth proportional to 344,305, 516,476.94 and 122,689 is: 184,040.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,305 : 516,476.94 = 122,689 : x
  2. Step 2: Convert to fraction form
    344,305/516,476.94 = 122,689/x
  3. Step 3: Cross multiply
    344,305x = 516,476.94 × 122,689
  4. Step 4: Simplify right side
    344,305x = 63,366,039,291.66
  5. Step 5: Solve for x
    x = 63,366,039,291.66/344,305
  6. Step 6: Final answer
    x = 184,040.43

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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.