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Finding the Fourth Proportional to 305,641.98, 458,412.66 and 81,016.38

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Solution

The fourth proportional to 305,641.98, 458,412.66 and 81,016.38 is: 121,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,641.98 : 458,412.66 = 81,016.38 : x
  2. Step 2: Convert to fraction form
    305,641.98/458,412.66 = 81,016.38/x
  3. Step 3: Cross multiply
    305,641.98x = 458,412.66 × 81,016.38
  4. Step 4: Simplify right side
    305,641.98x = 37,138,934,259.37
  5. Step 5: Solve for x
    x = 37,138,934,259.37/305,641.98
  6. Step 6: Final answer
    x = 121,511.23

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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.